1332748800 has 360 divisors, whose sum is σ = 4986805824. Its totient is φ = 339271680.

The previous prime is 1332748789. The next prime is 1332748877. The reversal of 1332748800 is 88472331.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649349 + ... + 2649851.

Almost surely, 2^1332748800 is an apocalyptic number.

1332748800 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 1332748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493402912).

1332748800 is an abundant number, since it is smaller than the sum of its proper divisors (3654057024).

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

1332748800 is a wasteful number, since it uses less digits than its factorization.

1332748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1332748800 is about 36506.8322372676. The cubic root of 1332748800 is about 1100.4815522432.

The spelling of 1332748800 in words is "one billion, three hundred thirty-two million, seven hundred forty-eight thousand, eight hundred".