1183256342400 has 576 divisors, whose sum is σ = 4487348505600. Its totient is φ = 271743897600.

The previous prime is 1183256342399. The next prime is 1183256342407. The reversal of 1183256342400 is 42436523811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1183256342407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38106081 + ... + 38137119.

It is an arithmetic number, because the mean of its divisors is an integer number (7790535600).

Almost surely, 2^{1183256342400} is an apocalyptic number.

1183256342400 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 1183256342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243674252800).

1183256342400 is an abundant number, since it is smaller than the sum of its proper divisors (3304092163200).

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

1183256342400 is a wasteful number, since it uses less digits than its factorization.

1183256342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31115 (or 31079 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1183256342400 in words is "one trillion, one hundred eighty-three billion, two hundred fifty-six million, three hundred forty-two thousand, four hundred".