1330325942400 has 3072 divisors, whose sum is σ = 6540331392000. Its totient is φ = 256077987840.

The previous prime is 1330325942399. The next prime is 1330325942471. The reversal of 1330325942400 is 42495230331.

1330325942400 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 325 + 94 + 240 + 0 = 666.

It is a super-2 number, since 2×1330325942400² (a number of 25 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 4945449466 + ... + 4945449734.

It is an arithmetic number, because the mean of its divisors is an integer number (2129014125).

Almost surely, 2^{1330325942400} is an apocalyptic number.

1330325942400 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 1330325942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270165696000).

1330325942400 is an abundant number, since it is smaller than the sum of its proper divisors (5210005449600).

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

1330325942400 is a wasteful number, since it uses less digits than its factorization.

1330325942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1330325942400 in words is "one trillion, three hundred thirty billion, three hundred twenty-five million, nine hundred forty-two thousand, four hundred".