3122231414400 has 1152 divisors, whose sum is σ = 13221268070400. Its totient is φ = 686527488000.

The previous prime is 3122231414381. The next prime is 3122231414443. The reversal of 3122231414400 is 44141322213.

3122231414400 is a `hidden beast` number, since 3 + 1 + 22 + 231 + 4 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1118677005 + ... + 1118679795.

It is an arithmetic number, because the mean of its divisors is an integer number (11476795200).

Almost surely, 2^{3122231414400} is an apocalyptic number.

3122231414400 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 3122231414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610634035200).

3122231414400 is an abundant number, since it is smaller than the sum of its proper divisors (10099036656000).

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

3122231414400 is a wasteful number, since it uses less digits than its factorization.

3122231414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3122231414400 its reverse (44141322213), we get a palindrome (3166372736613).

The spelling of 3122231414400 in words is "three trillion, one hundred twenty-two billion, two hundred thirty-one million, four hundred fourteen thousand, four hundred".