30125841408 has 528 divisors, whose sum is σ = 99307994240. Its totient is φ = 9065447424.

The previous prime is 30125841401. The next prime is 30125841413. The reversal of 30125841408 is 80414852103.

30125841408 is a `hidden beast` number, since 30 + 1 + 2 + 584 + 1 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30125841401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216732603 + ... + 216732741.

Almost surely, 2^30125841408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30125841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49653997120).

30125841408 is an abundant number, since it is smaller than the sum of its proper divisors (69182152832).

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

30125841408 is a wasteful number, since it uses less digits than its factorization.

30125841408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 30125841408 in words is "thirty billion, one hundred twenty-five million, eight hundred forty-one thousand, four hundred eight".