1330561440 has 576 divisors, whose sum is σ = 5364436896. Its totient is φ = 297271296.

The previous prime is 1330561439. The next prime is 1330561471. The reversal of 1330561440 is 441650331.

1330561440 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 614 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 40602384 + 1289959056 = 6372^2 + 35916^2 .

It is a super-2 number, since 2×1330561440² = 3540787491229747200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11774824 + ... + 11774936.

Almost surely, 2^1330561440 is an apocalyptic number.

1330561440 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 1330561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682218448).

1330561440 is an abundant number, since it is smaller than the sum of its proper divisors (4033875456).

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

1330561440 is a wasteful number, since it uses less digits than its factorization.

1330561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1330561440 is about 36476.8617071151. The cubic root of 1330561440 is about 1099.8791713011.

The spelling of 1330561440 in words is "one billion, three hundred thirty million, five hundred sixty-one thousand, four hundred forty".