40293712055520 has 768 divisors, whose sum is σ = 175859149455360. Its totient is φ = 8371193702400.

The previous prime is 40293712055501. The next prime is 40293712055521. The reversal of 40293712055520 is 2555021739204.

40293712055520 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 3 + 71 + 2 + 0 + 55 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40293712055521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3396581109 + ... + 3396592971.

It is an arithmetic number, because the mean of its divisors is an integer number (228983267520).

Almost surely, 2^{40293712055520} is an apocalyptic number.

40293712055520 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 40293712055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87929574727680).

40293712055520 is an abundant number, since it is smaller than the sum of its proper divisors (135565437399840).

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

40293712055520 is a wasteful number, since it uses less digits than its factorization.

40293712055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22116 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 40293712055520 in words is "forty trillion, two hundred ninety-three billion, seven hundred twelve million, fifty-five thousand, five hundred twenty".