1330953120 has 480 divisors, whose sum is σ = 5690539008. Its totient is φ = 285990912.

The previous prime is 1330953077. The next prime is 1330953139. The reversal of 1330953120 is 213590331.

It is a happy number.

1330953120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1541809 + ... + 1542671.

Almost surely, 2^1330953120 is an apocalyptic number.

1330953120 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 1330953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845269504).

1330953120 is an abundant number, since it is smaller than the sum of its proper divisors (4359585888).

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

1330953120 is a wasteful number, since it uses less digits than its factorization.

1330953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1330953120 is about 36482.2301949867. The cubic root of 1330953120 is about 1099.9870852478.

The spelling of 1330953120 in words is "one billion, three hundred thirty million, nine hundred fifty-three thousand, one hundred twenty".