30909728102400 has 1296 divisors, whose sum is σ = 129032549591400. Its totient is φ = 7050779688960.

The previous prime is 30909728102347. The next prime is 30909728102413. The reversal of 30909728102400 is 420182790903.

30909728102400 is a `hidden beast` number, since 30 + 9 + 0 + 97 + 28 + 102 + 400 = 666.

It is a super-2 number, since 2×30909728102400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 14518424536 + ... + 14518426664.

Almost surely, 2^{30909728102400} is an apocalyptic number.

30909728102400 is a gapful number since it is divisible by the number (30) 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 30909728102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64516274795700).

30909728102400 is an abundant number, since it is smaller than the sum of its proper divisors (98122821489000).

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

30909728102400 is a wasteful number, since it uses less digits than its factorization.

30909728102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 30909728102400 in words is "thirty trillion, nine hundred nine billion, seven hundred twenty-eight million, one hundred two thousand, four hundred".