1165948742400 has 216 divisors, whose sum is σ = 4143864931920. Its totient is φ = 287002705920.

The previous prime is 1165948742359. The next prime is 1165948742417. The reversal of 1165948742400 is 42478495611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2086035 + ... + 2585234.

It is an arithmetic number, because the mean of its divisors is an integer number (19184559870).

Almost surely, 2^{1165948742400} is an apocalyptic number.

1165948742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1165948742400 is an abundant number, since it is smaller than the sum of its proper divisors (2977916189520).

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

1165948742400 is a wasteful number, since it uses less digits than its factorization.

1165948742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671311 (or 4671292 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1165948742400 in words is "one trillion, one hundred sixty-five billion, nine hundred forty-eight million, seven hundred forty-two thousand, four hundred".