312423234332400 has 240 divisors, whose sum is σ = 1112037837880320. Its totient is φ = 83309674694400.

The previous prime is 312423234332387. The next prime is 312423234332411. The reversal of 312423234332400 is 4233432324213.

312423234332400 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 2 + 323 + 4 + 3 + 324 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288716355 + ... + 289796445.

It is an arithmetic number, because the mean of its divisors is an integer number (4633490991168).

Almost surely, 2^{312423234332400} is an apocalyptic number.

312423234332400 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 312423234332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556018918940160).

312423234332400 is an abundant number, since it is smaller than the sum of its proper divisors (799614603547920).

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

312423234332400 is a wasteful number, since it uses less digits than its factorization.

312423234332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106901 (or 1106884 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 312423234332400 its reverse (4233432324213), we get a palindrome (316656666656613).

The spelling of 312423234332400 in words is "three hundred twelve trillion, four hundred twenty-three billion, two hundred thirty-four million, three hundred thirty-two thousand, four hundred".