40290363792 has 320 divisors, whose sum is σ = 134219980800. Its totient is φ = 11334435840.

The previous prime is 40290363769. The next prime is 40290363811. The reversal of 40290363792 is 29736309204.

40290363792 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 0 + 3 + 637 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77332492 + ... + 77333012.

It is an arithmetic number, because the mean of its divisors is an integer number (419437440).

Almost surely, 2^40290363792 is an apocalyptic number.

40290363792 is a gapful number since it is divisible by the number (42) 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 40290363792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109990400).

40290363792 is an abundant number, since it is smaller than the sum of its proper divisors (93929617008).

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

40290363792 is a wasteful number, since it uses less digits than its factorization.

40290363792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 40290363792 in words is "forty billion, two hundred ninety million, three hundred sixty-three thousand, seven hundred ninety-two".