38002566760400 has 120 divisors (see below), whose sum is σ = 99615118953504. Its totient is φ = 13817194099200.

The previous prime is 38002566760393. The next prime is 38002566760453. The reversal of 38002566760400 is 406766520083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31246079 + ... + 32439521.

Almost surely, 2^{38002566760400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38002566760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49807559476752).

38002566760400 is an abundant number, since it is smaller than the sum of its proper divisors (61612552193104).

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

38002566760400 is a wasteful number, since it uses less digits than its factorization.

38002566760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200709 (or 1200698 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 38002566760400 in words is "thirty-eight trillion, two billion, five hundred sixty-six million, seven hundred sixty thousand, four hundred".