38777662440 has 256 divisors, whose sum is σ = 141203865600. Its totient is φ = 9387705600.

The previous prime is 38777662393. The next prime is 38777662453. The reversal of 38777662440 is 4426677783.

38777662440 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 7 + 6 + 624 + 4 + 0 = 666.

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

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, 10820889 + ... + 10824471.

It is an arithmetic number, because the mean of its divisors is an integer number (551577600).

Almost surely, 2^38777662440 is an apocalyptic number.

38777662440 is a gapful number since it is divisible by the number (30) 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 38777662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70601932800).

38777662440 is an abundant number, since it is smaller than the sum of its proper divisors (102426203160).

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

38777662440 is a wasteful number, since it uses less digits than its factorization.

38777662440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 38777662440 in words is "thirty-eight billion, seven hundred seventy-seven million, six hundred sixty-two thousand, four hundred forty".