1331366400 has 720 divisors, whose sum is σ = 5910288384. Its totient is φ = 278691840.

The previous prime is 1331366363. The next prime is 1331366417. The reversal of 1331366400 is 46631331.

1331366400 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 10483137 + ... + 10483263.

Almost surely, 2^1331366400 is an apocalyptic number.

1331366400 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 1331366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955144192).

1331366400 is an abundant number, since it is smaller than the sum of its proper divisors (4578921984).

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

1331366400 is a wasteful number, since it uses less digits than its factorization.

1331366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1331366400 is about 36487.8938827661. The cubic root of 1331366400 is about 1100.1009273785.

Adding to 1331366400 its reverse (46631331), we get a palindrome (1377997731).

The spelling of 1331366400 in words is "one billion, three hundred thirty-one million, three hundred sixty-six thousand, four hundred".