2014102324400 has 120 divisors (see below), whose sum is σ = 4906422248640. Its totient is φ = 794401413120.

The previous prime is 2014102324393. The next prime is 2014102324489. The reversal of 2014102324400 is 44232014102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170492894 + ... + 170504706.

It is an arithmetic number, because the mean of its divisors is an integer number (40886852072).

Almost surely, 2^{2014102324400} is an apocalyptic number.

2014102324400 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 2014102324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453211124320).

2014102324400 is an abundant number, since it is smaller than the sum of its proper divisors (2892319924240).

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

2014102324400 is a wasteful number, since it uses less digits than its factorization.

2014102324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17743 (or 17732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2014102324400 its reverse (44232014102), we get a palindrome (2058334338502).

The spelling of 2014102324400 in words is "two trillion, fourteen billion, one hundred two million, three hundred twenty-four thousand, four hundred".