40193235456 has 320 divisors, whose sum is σ = 126736638336. Its totient is φ = 11180441600.

The previous prime is 40193235431. The next prime is 40193235487. The reversal of 40193235456 is 65453239104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11774806 + ... + 11778218.

Almost surely, 2^40193235456 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 40193235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63368319168).

40193235456 is an abundant number, since it is smaller than the sum of its proper divisors (86543402880).

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

40193235456 is a wasteful number, since it uses less digits than its factorization.

40193235456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 40193235456 in words is "forty billion, one hundred ninety-three million, two hundred thirty-five thousand, four hundred fifty-six".