30090074400 has 360 divisors, whose sum is σ = 111253324644. Its totient is φ = 7912857600.

The previous prime is 30090074393. The next prime is 30090074419. The reversal of 30090074400 is 447009003.

It can be written as a sum of positive squares in 6 ways, for example, as 8080571664 + 22009502736 = 89892^2 + 148356^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4727220 + ... + 4733580.

Almost surely, 2^30090074400 is an apocalyptic number.

30090074400 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 30090074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55626662322).

30090074400 is an abundant number, since it is smaller than the sum of its proper divisors (81163250244).

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

30090074400 is a wasteful number, since it uses less digits than its factorization.

30090074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 30090074400 in words is "thirty billion, ninety million, seventy-four thousand, four hundred".