40882817745504 has 432 divisors, whose sum is σ = 136999812837888. Its totient is φ = 11529904103424.

The previous prime is 40882817745491. The next prime is 40882817745533. The reversal of 40882817745504 is 40554771828804.

40882817745504 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 2 + 8 + 1 + 7 + 74 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353010232 + ... + 353126024.

It is an arithmetic number, because the mean of its divisors is an integer number (317129196384).

Almost surely, 2^{40882817745504} 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 40882817745504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68499906418944).

40882817745504 is an abundant number, since it is smaller than the sum of its proper divisors (96116995092384).

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

40882817745504 is a wasteful number, since it uses less digits than its factorization.

40882817745504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116147 (or 116129 counting only the distinct ones).

The product of its (nonzero) digits is 80281600, while the sum is 63.

The spelling of 40882817745504 in words is "forty trillion, eight hundred eighty-two billion, eight hundred seventeen million, seven hundred forty-five thousand, five hundred four".