30080138400 has 288 divisors, whose sum is σ = 117159376320. Its totient is φ = 7404272640.

The previous prime is 30080138377. The next prime is 30080138411. The reversal of 30080138400 is 483108003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227239 + ... + 334361.

It is an arithmetic number, because the mean of its divisors is an integer number (406803390).

Almost surely, 2^30080138400 is an apocalyptic number.

30080138400 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 30080138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58579688160).

30080138400 is an abundant number, since it is smaller than the sum of its proper divisors (87079237920).

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

30080138400 is a wasteful number, since it uses less digits than its factorization.

30080138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107165 (or 107146 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 30080138400 in words is "thirty billion, eighty million, one hundred thirty-eight thousand, four hundred".