30404678400 has 540 divisors, whose sum is σ = 113855603400. Its totient is φ = 8004648960.

The previous prime is 30404678377. The next prime is 30404678401. The reversal of 30404678400 is 487640403.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30404678401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46137271 + ... + 46137929.

It is an arithmetic number, because the mean of its divisors is an integer number (210843710).

Almost surely, 2^30404678400 is an apocalyptic number.

30404678400 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 30404678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56927801700).

30404678400 is an abundant number, since it is smaller than the sum of its proper divisors (83450925000).

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

30404678400 is an equidigital number, since it uses as much as digits as its factorization.

30404678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 30404678400 in words is "thirty billion, four hundred four million, six hundred seventy-eight thousand, four hundred".