1155400756224 has 704 divisors, whose sum is σ = 3802818475008. Its totient is φ = 306885427200.

The previous prime is 1155400756217. The next prime is 1155400756243. The reversal of 1155400756224 is 4226570045511.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747958454 + ... + 1747959114.

Almost surely, 2^{1155400756224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155400756224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901409237504).

1155400756224 is an abundant number, since it is smaller than the sum of its proper divisors (2647417718784).

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

1155400756224 is a wasteful number, since it uses less digits than its factorization.

1155400756224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 1155400756224 in words is "one trillion, one hundred fifty-five billion, four hundred million, seven hundred fifty-six thousand, two hundred twenty-four".