1155040024400 has 30 divisors (see below), whose sum is σ = 2774983659582. Its totient is φ = 462016009600.

The previous prime is 1155040024393. The next prime is 1155040024421. The reversal of 1155040024400 is 44200405511.

It can be written as a sum of positive squares in 3 ways, for example, as 293603589904 + 861436434496 = 541852^2 + 928136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1155040024400.

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 5 ways as a sum of consecutive naturals, for example, 1443799631 + ... + 1443800430.

Almost surely, 2^{1155040024400} is an apocalyptic number.

1155040024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1155040024400 is an abundant number, since it is smaller than the sum of its proper divisors (1619943635182).

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

1155040024400 is a wasteful number, since it uses less digits than its factorization.

1155040024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887600079 (or 2887600068 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 1155040024400 its reverse (44200405511), we get a palindrome (1199240429911).

The spelling of 1155040024400 in words is "one trillion, one hundred fifty-five billion, forty million, twenty-four thousand, four hundred".