40805755536 has 320 divisors, whose sum is σ = 137069004800. Its totient is φ = 10158317568.

The previous prime is 40805755457. The next prime is 40805755559. The reversal of 40805755536 is 63555750804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27967575 + ... + 27969033.

It is an arithmetic number, because the mean of its divisors is an integer number (428340640).

Almost surely, 2^40805755536 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 40805755536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68534502400).

40805755536 is an abundant number, since it is smaller than the sum of its proper divisors (96263249264).

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

40805755536 is a wasteful number, since it uses less digits than its factorization.

40805755536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 40805755536 in words is "forty billion, eight hundred five million, seven hundred fifty-five thousand, five hundred thirty-six".