1132355202400 has 72 divisors (see below), whose sum is σ = 2769416886600. Its totient is φ = 452113858560.

The previous prime is 1132355202331. The next prime is 1132355202409. The reversal of 1132355202400 is 42025532311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132355202409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856225 + ... + 1731424.

It is an arithmetic number, because the mean of its divisors is an integer number (38464123425).

Almost surely, 2^{1132355202400} is an apocalyptic number.

1132355202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132355202400 is an abundant number, since it is smaller than the sum of its proper divisors (1637061684200).

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

1132355202400 is a wasteful number, since it uses less digits than its factorization.

1132355202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588216 (or 2588203 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 1132355202400 in words is "one trillion, one hundred thirty-two billion, three hundred fifty-five million, two hundred two thousand, four hundred".