38516869440 has 896 divisors, whose sum is σ = 162836352000. Its totient is φ = 8562032640.

The previous prime is 38516869439. The next prime is 38516869471. The reversal of 38516869440 is 4496861583.

38516869440 is a `hidden beast` number, since 3 + 8 + 516 + 86 + 9 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121504162 + ... + 121504478.

It is an arithmetic number, because the mean of its divisors is an integer number (181737000).

Almost surely, 2^38516869440 is an apocalyptic number.

38516869440 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 38516869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81418176000).

38516869440 is an abundant number, since it is smaller than the sum of its proper divisors (124319482560).

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

38516869440 is a wasteful number, since it uses less digits than its factorization.

38516869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38516869440 in words is "thirty-eight billion, five hundred sixteen million, eight hundred sixty-nine thousand, four hundred forty".