30007130400 has 720 divisors, whose sum is σ = 119101752000. Its totient is φ = 7308195840.

The previous prime is 30007130399. The next prime is 30007130437. The reversal of 30007130400 is 403170003.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 150789501 + ... + 150789699.

It is an arithmetic number, because the mean of its divisors is an integer number (165419100).

Almost surely, 2^30007130400 is an apocalyptic number.

30007130400 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 30007130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59550876000).

30007130400 is an abundant number, since it is smaller than the sum of its proper divisors (89094621600).

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

30007130400 is a wasteful number, since it uses less digits than its factorization.

30007130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 30007130400 in words is "thirty billion, seven million, one hundred thirty thousand, four hundred".