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40585998336 = 212313298761
BaseRepresentation
bin100101110011000111…
…010011000000000000
310212202111201100002120
4211303013103000000
51131110003421321
630351150444240
72634521202522
oct456307230000
9125674640076
1040585998336
1116237813294
127a48203680
133a9a5b8040
141d7034ba12
1510c818aec6
hex9731d3000

40585998336 has 208 divisors, whose sum is σ = 120572830560. Its totient is φ = 12056002560.

The previous prime is 40585998319. The next prime is 40585998337. The reversal of 40585998336 is 63389958504.

It is a tau number, because it is divible by the number of its divisors (208).

It is a self number, because there is not a number n which added to its sum of digits gives 40585998336.

It is not an unprimeable number, because it can be changed into a prime (40585998337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4628196 + ... + 4636956.

It is an arithmetic number, because the mean of its divisors is an integer number (579677070).

Almost surely, 240585998336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40585998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60286415280).

40585998336 is an abundant number, since it is smaller than the sum of its proper divisors (79986832224).

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

40585998336 is a wasteful number, since it uses less digits than its factorization.

40585998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 40585998336 in words is "forty billion, five hundred eighty-five million, nine hundred ninety-eight thousand, three hundred thirty-six".