1338311232000 has 240 divisors, whose sum is σ = 4820348198952. Its totient is φ = 356882841600.

The previous prime is 1338311231993. The next prime is 1338311232061. The reversal of 1338311232000 is 2321138331.

1338311232000 is a `hidden beast` number, since 1 + 338 + 3 + 1 + 1 + 2 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 243056888064 + 1095254343936 = 493008^2 + 1046544^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585729 + ... + 1737728.

Almost surely, 2^{1338311232000} is an apocalyptic number.

1338311232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338311232000 is an abundant number, since it is smaller than the sum of its proper divisors (3482036966952).

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

1338311232000 is an equidigital number, since it uses as much as digits as its factorization.

1338311232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323496 (or 2323467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1338311232000 in words is "one trillion, three hundred thirty-eight billion, three hundred eleven million, two hundred thirty-two thousand".