1114381850400 has 1728 divisors, whose sum is σ = 5120879242752. Its totient is φ = 221599825920.

The previous prime is 1114381850389. The next prime is 1114381850429. The reversal of 1114381850400 is 40581834111.

1114381850400 is a `hidden beast` number, since 1 + 1 + 1 + 438 + 185 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1100080294 + ... + 1100081306.

It is an arithmetic number, because the mean of its divisors is an integer number (2963471784).

Almost surely, 2^{1114381850400} is an apocalyptic number.

1114381850400 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 1114381850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560439621376).

1114381850400 is an abundant number, since it is smaller than the sum of its proper divisors (4006497392352).

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

1114381850400 is a wasteful number, since it uses less digits than its factorization.

1114381850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1114381850400 in words is "one trillion, one hundred fourteen billion, three hundred eighty-one million, eight hundred fifty thousand, four hundred".