394400765190 has 128 divisors (see below), whose sum is σ = 1009008000000. Its totient is φ = 98380210176.

The previous prime is 394400765179. The next prime is 394400765191. The reversal of 394400765190 is 91567004493.

It is a super-2 number, since 2×394400765190² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394400765191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24264186 + ... + 24280434.

It is an arithmetic number, because the mean of its divisors is an integer number (7882875000).

Almost surely, 2^394400765190 is an apocalyptic number.

394400765190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 394400765190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504000000).

394400765190 is an abundant number, since it is smaller than the sum of its proper divisors (614607234810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

394400765190 is a wasteful number, since it uses less digits than its factorization.

394400765190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814.

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 394400765190 in words is "three hundred ninety-four billion, four hundred million, seven hundred sixty-five thousand, one hundred ninety".