40400417792 has 176 divisors, whose sum is σ = 96891420672. Its totient is φ = 16462110720.

The previous prime is 40400417789. The next prime is 40400417797. The reversal of 40400417792 is 29771400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400417797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31488383 + ... + 31489665.

Almost surely, 2^40400417792 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 40400417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48445710336).

40400417792 is an abundant number, since it is smaller than the sum of its proper divisors (56491002880).

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

40400417792 is a wasteful number, since it uses less digits than its factorization.

40400417792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 40400417792 in words is "forty billion, four hundred million, four hundred seventeen thousand, seven hundred ninety-two".