312000411431400 has 768 divisors, whose sum is σ = 1031210569728000. Its totient is φ = 77929844428800.

The previous prime is 312000411431327. The next prime is 312000411431419. The reversal of 312000411431400 is 4134114000213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22173286365 + ... + 22173300435.

It is an arithmetic number, because the mean of its divisors is an integer number (1342722096000).

Almost surely, 2^{312000411431400} is an apocalyptic number.

312000411431400 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 312000411431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515605284864000).

312000411431400 is an abundant number, since it is smaller than the sum of its proper divisors (719210158296600).

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

312000411431400 is a wasteful number, since it uses less digits than its factorization.

312000411431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312000411431400 its reverse (4134114000213), we get a palindrome (316134525431613).

The spelling of 312000411431400 in words is "three hundred twelve trillion, four hundred eleven million, four hundred thirty-one thousand, four hundred".