1150456368320 has 448 divisors, whose sum is σ = 3294034560000. Its totient is φ = 374507421696.

The previous prime is 1150456368319. The next prime is 1150456368349. The reversal of 1150456368320 is 238636540511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 728597291 + ... + 728598869.

Almost surely, 2^{1150456368320} is an apocalyptic number.

1150456368320 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 1150456368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647017280000).

1150456368320 is an abundant number, since it is smaller than the sum of its proper divisors (2143578191680).

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

1150456368320 is a wasteful number, since it uses less digits than its factorization.

1150456368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 1150456368320 in words is "one trillion, one hundred fifty billion, four hundred fifty-six million, three hundred sixty-eight thousand, three hundred twenty".