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40646534320 = 24571943731217
BaseRepresentation
bin100101110110101110…
…001110010010110000
310212220201121212212001
4211312232032102300
51131221003044240
630401152143344
72636154561340
oct456656162260
9125821555761
1040646534320
11162689aa927
127a64537b54
133aa9cc1c52
141d783c8d20
1510cd64789a
hex976b8e4b0

40646534320 has 320 divisors, whose sum is σ = 118022446080. Its totient is φ = 12708347904.

The previous prime is 40646534317. The next prime is 40646534413. The reversal of 40646534320 is 2343564604.

It is a happy number.

40646534320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40646534320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33398352 + ... + 33399568.

It is an arithmetic number, because the mean of its divisors is an integer number (368820144).

Almost surely, 240646534320 is an apocalyptic number.

40646534320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40646534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59011223040).

40646534320 is an abundant number, since it is smaller than the sum of its proper divisors (77375911760).

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

40646534320 is a wasteful number, since it uses less digits than its factorization.

40646534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 40646534320 in words is "forty billion, six hundred forty-six million, five hundred thirty-four thousand, three hundred twenty".