312401305440 has 576 divisors, whose sum is σ = 1266621318144. Its totient is φ = 71229155328.

The previous prime is 312401305429. The next prime is 312401305441. The reversal of 312401305440 is 44503104213.

It is a happy number.

312401305440 is a `hidden beast` number, since 312 + 4 + 0 + 1 + 305 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312401305441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132540742 + ... + 132543098.

It is an arithmetic number, because the mean of its divisors is an integer number (2198995344).

Almost surely, 2^312401305440 is an apocalyptic number.

312401305440 is a gapful number since it is divisible by the number (30) 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 312401305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633310659072).

312401305440 is an abundant number, since it is smaller than the sum of its proper divisors (954220012704).

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

312401305440 is a wasteful number, since it uses less digits than its factorization.

312401305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 312401305440 its reverse (44503104213), we get a palindrome (356904409653).

The spelling of 312401305440 in words is "three hundred twelve billion, four hundred one million, three hundred five thousand, four hundred forty".