30046988400 has 720 divisors, whose sum is σ = 118564828032. Its totient is φ = 6412032000.

The previous prime is 30046988393. The next prime is 30046988431. The reversal of 30046988400 is 488964003.

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 143 ways as a sum of consecutive naturals, for example, 90776235 + ... + 90776565.

Almost surely, 2^30046988400 is an apocalyptic number.

30046988400 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 30046988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59282414016).

30046988400 is an abundant number, since it is smaller than the sum of its proper divisors (88517839632).

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

30046988400 is a wasteful number, since it uses less digits than its factorization.

30046988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 30046988400 in words is "thirty billion, forty-six million, nine hundred eighty-eight thousand, four hundred".