38998526214400 has 243 divisors, whose sum is σ = 97226170676509. Its totient is φ = 15487302400000.

The previous prime is 38998526214337. The next prime is 38998526214433. The reversal of 38998526214400 is 441262589983.

The square root of 38998526214400 is 6244880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14039469437184 + 24959056777216 = 3746928^2 + 4995904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125397190245 + ... + 125397190555.

Almost surely, 2^{38998526214400} is an apocalyptic number.

38998526214400 is the 6244880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38998526214400

38998526214400 is an abundant number, since it is smaller than the sum of its proper divisors (58227644462109).

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

38998526214400 is an frugal number, since it uses more digits than its factorization.

38998526214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 38998526214400 in words is "thirty-eight trillion, nine hundred ninety-eight billion, five hundred twenty-six million, two hundred fourteen thousand, four hundred".