1331870400 has 504 divisors, whose sum is σ = 5514445664. Its totient is φ = 298598400.

The previous prime is 1331870383. The next prime is 1331870411. The reversal of 1331870400 is 40781331.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7358310 + ... + 7358490.

Almost surely, 2^1331870400 is an apocalyptic number.

1331870400 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 1331870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757222832).

1331870400 is an abundant number, since it is smaller than the sum of its proper divisors (4182575264).

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

1331870400 is a wasteful number, since it uses less digits than its factorization.

1331870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1331870400 is about 36494.7996295363. The cubic root of 1331870400 is about 1100.2397273658.

The spelling of 1331870400 in words is "one billion, three hundred thirty-one million, eight hundred seventy thousand, four hundred".