40132302756656 has 120 divisors (see below), whose sum is σ = 90115053063600. Its totient is φ = 17167616409600.

The previous prime is 40132302756643. The next prime is 40132302756713. The reversal of 40132302756656 is 65665720323104.

It is a super-2 number, since 2×40132302756656² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043760920 + ... + 1043799368.

It is an arithmetic number, because the mean of its divisors is an integer number (750958775530).

Almost surely, 2^{40132302756656} 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 40132302756656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057526531800).

40132302756656 is an abundant number, since it is smaller than the sum of its proper divisors (49982750306944).

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

40132302756656 is a wasteful number, since it uses less digits than its factorization.

40132302756656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59023 (or 59000 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 50.

The spelling of 40132302756656 in words is "forty trillion, one hundred thirty-two billion, three hundred two million, seven hundred fifty-six thousand, six hundred fifty-six".