1150255814400 has 2592 divisors, whose sum is σ = 5501414553600. Its totient is φ = 229920768000.

The previous prime is 1150255814381. The next prime is 1150255814447. The reversal of 1150255814400 is 44185520511.

1150255814400 is a `hidden beast` number, since 1 + 1 + 50 + 2 + 558 + 14 + 40 + 0 = 666.

It is a super-2 number, since 2×1150255814400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4244486265 + ... + 4244486535.

Almost surely, 2^{1150255814400} is an apocalyptic number.

1150255814400 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 1150255814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750707276800).

1150255814400 is an abundant number, since it is smaller than the sum of its proper divisors (4351158739200).

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

1150255814400 is a wasteful number, since it uses less digits than its factorization.

1150255814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 1150255814400 in words is "one trillion, one hundred fifty billion, two hundred fifty-five million, eight hundred fourteen thousand, four hundred".