20312440214400 has 576 divisors, whose sum is σ = 72966767328000. Its totient is φ = 5380349399040.

The previous prime is 20312440214399. The next prime is 20312440214441. The reversal of 20312440214400 is 441204421302.

20312440214400 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 4 + 40 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2884057279 + ... + 2884064321.

It is an arithmetic number, because the mean of its divisors is an integer number (126678415500).

Almost surely, 2^{20312440214400} is an apocalyptic number.

20312440214400 is a gapful number since it is divisible by the number (20) 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 20312440214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36483383664000).

20312440214400 is an abundant number, since it is smaller than the sum of its proper divisors (52654327113600).

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

20312440214400 is a wasteful number, since it uses less digits than its factorization.

20312440214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20312440214400 its reverse (441204421302), we get a palindrome (20753644635702).

The spelling of 20312440214400 in words is "twenty trillion, three hundred twelve billion, four hundred forty million, two hundred fourteen thousand, four hundred".