390431134093 has 48 divisors (see below), whose sum is σ = 532316092032. Its totient is φ = 278048160000.

The previous prime is 390431134039. The next prime is 390431134097.

390431134093 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 390431134093 - 2⁹ = 390431133581 is a prime.

It is a super-2 number, since 2×390431134093² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390431134097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165783 + ... + 1462843.

It is an arithmetic number, because the mean of its divisors is an integer number (11089918584).

Almost surely, 2^390431134093 is an apocalyptic number.

It is an amenable number.

390431134093 is a deficient number, since it is larger than the sum of its proper divisors (141884957939).

390431134093 is a wasteful number, since it uses less digits than its factorization.

390431134093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297206 (or 297193 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 390431134093 in words is "three hundred ninety billion, four hundred thirty-one million, one hundred thirty-four thousand, ninety-three".