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40040810406 = 2331981148121
BaseRepresentation
bin100101010010100111…
…100100011110100110
310211100111211220212000
4211102213210132212
51124000421413111
630221113310130
72615151162402
oct452247443646
9124314756760
1040040810406
1115a87aa2553
127915705346
133a11670c2c
141d1bb92102
151095398c56
hex9529e47a6

40040810406 has 64 divisors (see below), whose sum is σ = 93780153600. Its totient is φ = 12628612800.

The previous prime is 40040810399. The next prime is 40040810437. The reversal of 40040810406 is 60401804004.

40040810406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40040810406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808026 + ... + 856146.

It is an arithmetic number, because the mean of its divisors is an integer number (1465314900).

Almost surely, 240040810406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040810406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46890076800).

40040810406 is an abundant number, since it is smaller than the sum of its proper divisors (53739343194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40040810406 is a wasteful number, since it uses less digits than its factorization.

40040810406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48962 (or 48956 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40040810406 in words is "forty billion, forty million, eight hundred ten thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 811 1026 1622 2433 4866 7299 14598 15409 21897 30818 43794 46227 48121 92454 96242 138681 144363 277362 288726 416043 433089 832086 866178 914299 1299267 1828598 2598534 2742897 5485794 8228691 16457382 24686073 39026131 49372146 78052262 117078393 234156786 351235179 702470358 741496489 1053705537 1482992978 2107411074 2224489467 4448978934 6673468401 13346936802 20020405203 40040810406