1162101424400 has 240 divisors, whose sum is σ = 3261111216000. Its totient is φ = 397799216640.

The previous prime is 1162101424327. The next prime is 1162101424409. The reversal of 1162101424400 is 44241012611.

It is a self number, because there is not a number n which added to its sum of digits gives 1162101424400.

It is not an unprimeable number, because it can be changed into a prime (1162101424409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90408374 + ... + 90421226.

It is an arithmetic number, because the mean of its divisors is an integer number (13587963400).

Almost surely, 2^{1162101424400} is an apocalyptic number.

1162101424400 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 1162101424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630555608000).

1162101424400 is an abundant number, since it is smaller than the sum of its proper divisors (2099009791600).

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

1162101424400 is a wasteful number, since it uses less digits than its factorization.

1162101424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 1162101424400 in words is "one trillion, one hundred sixty-two billion, one hundred one million, four hundred twenty-four thousand, four hundred".