1530028220400 has 360 divisors, whose sum is σ = 5369634919584. Its totient is φ = 403419955200.

The previous prime is 1530028220389. The next prime is 1530028220453. The reversal of 1530028220400 is 40228200351.

1530028220400 is a `hidden beast` number, since 1 + 5 + 30 + 0 + 2 + 8 + 220 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126746365 + ... + 126758435.

Almost surely, 2^{1530028220400} is an apocalyptic number.

1530028220400 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 1530028220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684817459792).

1530028220400 is an abundant number, since it is smaller than the sum of its proper divisors (3839606699184).

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

1530028220400 is a wasteful number, since it uses less digits than its factorization.

1530028220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12489 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1530028220400 in words is "one trillion, five hundred thirty billion, twenty-eight million, two hundred twenty thousand, four hundred".