1114424572800 has 384 divisors, whose sum is σ = 4576380307200. Its totient is φ = 231568588800.

The previous prime is 1114424572799. The next prime is 1114424572817. The reversal of 1114424572800 is 82754244111.

It is a tau number, because it is divible by the number of its divisors (384).

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, 14605 + ... + 1493004.

It is an arithmetic number, because the mean of its divisors is an integer number (11917657050).

Almost surely, 2^{1114424572800} is an apocalyptic number.

1114424572800 is a gapful number since it is divisible by the number (10) 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 1114424572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288190153600).

1114424572800 is an abundant number, since it is smaller than the sum of its proper divisors (3461955734400).

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

1114424572800 is a wasteful number, since it uses less digits than its factorization.

1114424572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507654 (or 1507637 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 1114424572800 in words is "one trillion, one hundred fourteen billion, four hundred twenty-four million, five hundred seventy-two thousand, eight hundred".