40427831808 has 480 divisors, whose sum is σ = 149947902720. Its totient is φ = 10659962880.

The previous prime is 40427831779. The next prime is 40427831827. The reversal of 40427831808 is 80813872404.

40427831808 is a `hidden beast` number, since 40 + 427 + 8 + 3 + 180 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8803593 + ... + 8808183.

It is an arithmetic number, because the mean of its divisors is an integer number (312391464).

Almost surely, 2^40427831808 is an apocalyptic number.

40427831808 is a gapful number since it is divisible by the number (48) 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 40427831808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74973951360).

40427831808 is an abundant number, since it is smaller than the sum of its proper divisors (109520070912).

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

40427831808 is a wasteful number, since it uses less digits than its factorization.

40427831808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 40427831808 in words is "forty billion, four hundred twenty-seven million, eight hundred thirty-one thousand, eight hundred eight".