1114755872400 has 135 divisors (see below), whose sum is σ = 3868732383451. Its totient is φ = 297251339520.

The previous prime is 1114755872393. The next prime is 1114755872429. The reversal of 1114755872400 is 42785574111.

The square root of 1114755872400 is 1055820.

It is a perfect power (a square), and thus also a powerful number.

1114755872400 is a `hidden beast` number, since 1 + 1 + 1 + 47 + 5 + 587 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 537107231376 + 577648641024 = 732876^2 + 760032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63340402 + ... + 63357998.

Almost surely, 2^{1114755872400} is an apocalyptic number.

1114755872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1114755872400 is the 1055820-th square number.

It is an amenable number.

1114755872400 is an abundant number, since it is smaller than the sum of its proper divisors (2753976511051).

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

1114755872400 is an frugal number, since it uses more digits than its factorization.

1114755872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35218 (or 17607 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 1114755872400 in words is "one trillion, one hundred fourteen billion, seven hundred fifty-five million, eight hundred seventy-two thousand, four hundred".