1330147022400 has 567 divisors, whose sum is σ = 5503527272451. Its totient is φ = 303812167680.

The previous prime is 1330147022389. The next prime is 1330147022417. The reversal of 1330147022400 is 42207410331.

It is a happy number.

The square root of 1330147022400 is 1153320.

It is a perfect power (a square), and thus also a powerful number.

1330147022400 is a `hidden beast` number, since 133 + 0 + 1 + 470 + 22 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346336958016 + 983810064384 = 588504^2 + 991872^2 .

It is a super-2 number, since 2×1330147022400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 968788114 + ... + 968789486.

Almost surely, 2^{1330147022400} is an apocalyptic number.

1330147022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1330147022400 is the 1153320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330147022400

1330147022400 is an abundant number, since it is smaller than the sum of its proper divisors (4173380250051).

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

1330147022400 is an equidigital number, since it uses as much as digits as its factorization.

1330147022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 1330147022400 in words is "one trillion, three hundred thirty billion, one hundred forty-seven million, twenty-two thousand, four hundred".