312401410044 has 96 divisors (see below), whose sum is σ = 812689355520. Its totient is φ = 92821128192.

The previous prime is 312401410007. The next prime is 312401410103. The reversal of 312401410044 is 440014104213.

It is a junction number, because it is equal to n+sod(n) for n = 312401409996 and 312401410023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14706559 + ... + 14727785.

It is an arithmetic number, because the mean of its divisors is an integer number (8465514120).

Almost surely, 2^312401410044 is an apocalyptic number.

312401410044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312401410044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406344677760).

312401410044 is an abundant number, since it is smaller than the sum of its proper divisors (500287945476).

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

312401410044 is a wasteful number, since it uses less digits than its factorization.

312401410044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25067 (or 25065 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 312401410044 its reverse (440014104213), we get a palindrome (752415514257).

The spelling of 312401410044 in words is "three hundred twelve billion, four hundred one million, four hundred ten thousand, forty-four".