1123025990400 has 540 divisors, whose sum is σ = 4168633159152. Its totient is φ = 298298695680.

The previous prime is 1123025990363. The next prime is 1123025990407. The reversal of 1123025990400 is 40995203211.

1123025990400 is a `hidden beast` number, since 1 + 1 + 23 + 0 + 2 + 599 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1123025990400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1123025990407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136335082 + ... + 136343318.

Almost surely, 2^{1123025990400} is an apocalyptic number.

1123025990400 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 1123025990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084316579576).

1123025990400 is an abundant number, since it is smaller than the sum of its proper divisors (3045607168752).

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

1123025990400 is an equidigital number, since it uses as much as digits as its factorization.

1123025990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1123025990400 in words is "one trillion, one hundred twenty-three billion, twenty-five million, nine hundred ninety thousand, four hundred".