40494811593600 has 5376 divisors, whose sum is σ = 200313585360000. Its totient is φ = 8006259179520.

The previous prime is 40494811593571. The next prime is 40494811593611. The reversal of 40494811593600 is 639511849404.

40494811593600 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 48 + 1 + 1 + 593 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 176833238286 + ... + 176833238514.

Almost surely, 2^{40494811593600} is an apocalyptic number.

40494811593600 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 40494811593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100156792680000).

40494811593600 is an abundant number, since it is smaller than the sum of its proper divisors (159818773766400).

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

40494811593600 is a wasteful number, since it uses less digits than its factorization.

40494811593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 40494811593600 in words is "forty trillion, four hundred ninety-four billion, eight hundred eleven million, five hundred ninety-three thousand, six hundred".