40293940504896 has 2240 divisors, whose sum is σ = 144187208704000. Its totient is φ = 11014518620160.

The previous prime is 40293940504837. The next prime is 40293940504931. The reversal of 40293940504896 is 69840504939204.

40293940504896 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 3 + 9 + 40 + 504 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 289884463995 + ... + 289884464133.

It is an arithmetic number, because the mean of its divisors is an integer number (64369289600).

Almost surely, 2^{40293940504896} 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 40293940504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72093604352000).

40293940504896 is an abundant number, since it is smaller than the sum of its proper divisors (103893268199104).

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

40293940504896 is a wasteful number, since it uses less digits than its factorization.

40293940504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 40293940504896 in words is "forty trillion, two hundred ninety-three billion, nine hundred forty million, five hundred four thousand, eight hundred ninety-six".