37785423412401 has 24 divisors (see below), whose sum is σ = 58614364314720. Its totient is φ = 21588575242752.

The previous prime is 37785423412357. The next prime is 37785423412403. The reversal of 37785423412401 is 10421432458773.

It is a happy number.

It is not a de Polignac number, because 37785423412401 - 2⁹ = 37785423411889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37785423412403) 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, 17395171 + ... + 19446408.

It is an arithmetic number, because the mean of its divisors is an integer number (2442265179780).

Almost surely, 2^{37785423412401} is an apocalyptic number.

It is an amenable number.

37785423412401 is a deficient number, since it is larger than the sum of its proper divisors (20828940902319).

37785423412401 is a wasteful number, since it uses less digits than its factorization.

37785423412401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36848573 (or 36848566 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 37785423412401 in words is "thirty-seven trillion, seven hundred eighty-five billion, four hundred twenty-three million, four hundred twelve thousand, four hundred one".