38400417792001 has 24 divisors (see below), whose sum is σ = 39597916656480. Its totient is φ = 37237220669376.

The previous prime is 38400417791969. The next prime is 38400417792013. The reversal of 38400417792001 is 10029771400483.

It is not a de Polignac number, because 38400417792001 - 2⁵ = 38400417791969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38400417792301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282331630 + ... + 282467608.

It is an arithmetic number, because the mean of its divisors is an integer number (1649913194020).

Almost surely, 2^{38400417792001} is an apocalyptic number.

It is an amenable number.

38400417792001 is a deficient number, since it is larger than the sum of its proper divisors (1197498864479).

38400417792001 is a wasteful number, since it uses less digits than its factorization.

38400417792001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137165 (or 137122 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 38400417792001 in words is "thirty-eight trillion, four hundred billion, four hundred seventeen million, seven hundred ninety-two thousand, one".