1162410500400 has 120 divisors (see below), whose sum is σ = 3725149670400. Its totient is φ = 309846155520.

The previous prime is 1162410500299. The next prime is 1162410500401. The reversal of 1162410500400 is 40050142611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1162410500401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2676909 + ... + 3080691.

It is an arithmetic number, because the mean of its divisors is an integer number (31042913920).

Almost surely, 2^{1162410500400} is an apocalyptic number.

1162410500400 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 1162410500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862574835200).

1162410500400 is an abundant number, since it is smaller than the sum of its proper divisors (2562739170000).

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

1162410500400 is a wasteful number, since it uses less digits than its factorization.

1162410500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406203 (or 406192 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 1162410500400 in words is "one trillion, one hundred sixty-two billion, four hundred ten million, five hundred thousand, four hundred".