1132421907456 has 440 divisors, whose sum is σ = 4068169807680. Its totient is φ = 306517229568.

The previous prime is 1132421907413. The next prime is 1132421907467. The reversal of 1132421907456 is 6547091242311.

1132421907456 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 2 + 190 + 7 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10980226 + ... + 11082878.

It is an arithmetic number, because the mean of its divisors is an integer number (9245840472).

Almost surely, 2^{1132421907456} is an apocalyptic number.

1132421907456 is a gapful number since it is divisible by the number (16) 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 1132421907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034084903840).

1132421907456 is an abundant number, since it is smaller than the sum of its proper divisors (2935747900224).

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

1132421907456 is a wasteful number, since it uses less digits than its factorization.

1132421907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102711 (or 102684 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1132421907456 in words is "one trillion, one hundred thirty-two billion, four hundred twenty-one million, nine hundred seven thousand, four hundred fifty-six".