38720116057401 has 81 divisors (see below), whose sum is σ = 58502933509293. Its totient is φ = 24677135922240.

The previous prime is 38720116057391. The next prime is 38720116057439. The reversal of 38720116057401 is 10475061102783.

The square root of 38720116057401 is 6222549.

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

38720116057401 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 0 + 11 + 60 + 574 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 853027724025 + 37867088333376 = 923595^2 + 6153624^2 .

It is not a de Polignac number, because 38720116057401 - 2¹⁵ = 38720116024633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38720116057471) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42132878820 + ... + 42132879738.

Almost surely, 2^{38720116057401} is an apocalyptic number.

38720116057401 is the 6222549-th square number.

38720116057401 is the 3111275-th centered octagonal number.

It is an amenable number.

38720116057401 is a deficient number, since it is larger than the sum of its proper divisors (19782817451892).

38720116057401 is an frugal number, since it uses more digits than its factorization.

38720116057401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 38720116057401 in words is "thirty-eight trillion, seven hundred twenty billion, one hundred sixteen million, fifty-seven thousand, four hundred one".