38758501440 has 336 divisors, whose sum is σ = 140227117056. Its totient is φ = 9812275200.

The previous prime is 38758501351. The next prime is 38758501447. The reversal of 38758501440 is 4410585783.

38758501440 is a `hidden beast` number, since 38 + 75 + 8 + 501 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38758501447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4727745 + ... + 4735935.

Almost surely, 2^38758501440 is an apocalyptic number.

38758501440 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 38758501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70113558528).

38758501440 is an abundant number, since it is smaller than the sum of its proper divisors (101468615616).

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

38758501440 is a wasteful number, since it uses less digits than its factorization.

38758501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 38758501440 in words is "thirty-eight billion, seven hundred fifty-eight million, five hundred one thousand, four hundred forty".