1132003202400 has 864 divisors, whose sum is σ = 4634833851648. Its totient is φ = 254637158400.

The previous prime is 1132003202383. The next prime is 1132003202437. The reversal of 1132003202400 is 42023002311.

1132003202400 is a `hidden beast` number, since 1 + 1 + 320 + 0 + 320 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1928454907 + ... + 1928455493.

It is an arithmetic number, because the mean of its divisors is an integer number (5364391032).

Almost surely, 2^{1132003202400} is an apocalyptic number.

1132003202400 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 1132003202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317416925824).

1132003202400 is an abundant number, since it is smaller than the sum of its proper divisors (3502830649248).

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

1132003202400 is a wasteful number, since it uses less digits than its factorization.

1132003202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1132003202400 its reverse (42023002311), we get a palindrome (1174026204711).

The spelling of 1132003202400 in words is "one trillion, one hundred thirty-two billion, three million, two hundred two thousand, four hundred".