38516797440 has 624 divisors, whose sum is σ = 147784774176. Its totient is φ = 9277931520.

The previous prime is 38516797427. The next prime is 38516797469. The reversal of 38516797440 is 4479761583.

38516797440 is a `hidden beast` number, since 3 + 8 + 51 + 67 + 97 + 440 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 245329842 + ... + 245329998.

It is an arithmetic number, because the mean of its divisors is an integer number (236834574).

Almost surely, 2^38516797440 is an apocalyptic number.

38516797440 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 38516797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73892387088).

38516797440 is an abundant number, since it is smaller than the sum of its proper divisors (109267976736).

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

38516797440 is a wasteful number, since it uses less digits than its factorization.

38516797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 38516797440 in words is "thirty-eight billion, five hundred sixteen million, seven hundred ninety-seven thousand, four hundred forty".