30423002400 has 864 divisors, whose sum is σ = 127391846400. Its totient is φ = 6827950080.

The previous prime is 30423002339. The next prime is 30423002417. The reversal of 30423002400 is 420032403.

30423002400 is a `hidden beast` number, since 3 + 0 + 423 + 0 + 0 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239551137 + ... + 239551263.

Almost surely, 2^30423002400 is an apocalyptic number.

30423002400 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 30423002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63695923200).

30423002400 is an abundant number, since it is smaller than the sum of its proper divisors (96968844000).

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

30423002400 is a wasteful number, since it uses less digits than its factorization.

30423002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30423002400 its reverse (420032403), we get a palindrome (30843034803).

The spelling of 30423002400 in words is "thirty billion, four hundred twenty-three million, two thousand, four hundred".