38397542401 has 2 divisors, whose sum is σ = 38397542402. Its totient is φ = 38397542400.

The previous prime is 38397542383. The next prime is 38397542437. The reversal of 38397542401 is 10424579383.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32310422001 + 6087120400 = 179751^2 + 78020^2 .

It is an emirp because it is prime and its reverse (10424579383) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38397542401 - 2⁷ = 38397542273 is a prime.

It is not a weakly prime, because it can be changed into another prime (38397546401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19198771200 + 19198771201.

It is an arithmetic number, because the mean of its divisors is an integer number (19198771201).

It is a Proth number, since it is equal to 146475 ⋅ 2¹⁸ + 1 and 146475 < 2¹⁸.

Almost surely, 2^38397542401 is an apocalyptic number.

It is an amenable number.

38397542401 is a deficient number, since it is larger than the sum of its proper divisors (1).

38397542401 is an equidigital number, since it uses as much as digits as its factorization.

38397542401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 38397542401 in words is "thirty-eight billion, three hundred ninety-seven million, five hundred forty-two thousand, four hundred one".