30414422400 has 192 divisors, whose sum is σ = 103410048000. Its totient is φ = 7848806400.

The previous prime is 30414422399. The next prime is 30414422449. The reversal of 30414422400 is 422441403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246501 + ... + 348699.

It is an arithmetic number, because the mean of its divisors is an integer number (538594000).

Almost surely, 2^30414422400 is an apocalyptic number.

30414422400 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 30414422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51705024000).

30414422400 is an abundant number, since it is smaller than the sum of its proper divisors (72995625600).

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

30414422400 is a wasteful number, since it uses less digits than its factorization.

30414422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102257 (or 102240 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30414422400 its reverse (422441403), we get a palindrome (30836863803).

The spelling of 30414422400 in words is "thirty billion, four hundred fourteen million, four hundred twenty-two thousand, four hundred".