30819398400 has 1296 divisors, whose sum is σ = 138386976000. Its totient is φ = 6628884480.

The previous prime is 30819398377. The next prime is 30819398411. The reversal of 30819398400 is 489391803.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 206841526 + ... + 206841674.

Almost surely, 2^30819398400 is an apocalyptic number.

30819398400 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 30819398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69193488000).

30819398400 is an abundant number, since it is smaller than the sum of its proper divisors (107567577600).

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

30819398400 is a wasteful number, since it uses less digits than its factorization.

30819398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30819398400 in words is "thirty billion, eight hundred nineteen million, three hundred ninety-eight thousand, four hundred".