1130223974400 has 2160 divisors, whose sum is σ = 4753350922320. Its totient is φ = 264713011200.

The previous prime is 1130223974287. The next prime is 1130223974533. The reversal of 1130223974400 is 44793220311.

It is a happy number.

1130223974400 is a `hidden beast` number, since 1 + 13 + 0 + 2 + 239 + 7 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 27566438380 + ... + 27566438420.

It is an arithmetic number, because the mean of its divisors is an integer number (2200625427).

Almost surely, 2^{1130223974400} is an apocalyptic number.

1130223974400 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 1130223974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376675461160).

1130223974400 is an abundant number, since it is smaller than the sum of its proper divisors (3623126947920).

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

1130223974400 is a wasteful number, since it uses less digits than its factorization.

1130223974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1130223974400 in words is "one trillion, one hundred thirty billion, two hundred twenty-three million, nine hundred seventy-four thousand, four hundred".