1330629120 has 560 divisors, whose sum is σ = 5152384512. Its totient is φ = 328458240.

The previous prime is 1330629119. The next prime is 1330629133. The reversal of 1330629120 is 219260331.

1330629120 is a `hidden beast` number, since 1 + 3 + 30 + 629 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42923505 + ... + 42923535.

Almost surely, 2^1330629120 is an apocalyptic number.

1330629120 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 1330629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576192256).

1330629120 is an abundant number, since it is smaller than the sum of its proper divisors (3821755392).

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

1330629120 is an frugal number, since it uses more digits than its factorization.

1330629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1330629120 is about 36477.7894067061. The cubic root of 1330629120 is about 1099.8978197097.

Adding to 1330629120 its reverse (219260331), we get a palindrome (1549889451).

The spelling of 1330629120 in words is "one billion, three hundred thirty million, six hundred twenty-nine thousand, one hundred twenty".