30041239872 has 336 divisors, whose sum is σ = 101573015040. Its totient is φ = 7776857088.

The previous prime is 30041239871. The next prime is 30041239909. The reversal of 30041239872 is 27893214003.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 30041239872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30041239871) 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, 4107643 + ... + 4114949.

It is an arithmetic number, because the mean of its divisors is an integer number (302300640).

Almost surely, 2^30041239872 is an apocalyptic number.

30041239872 is a gapful number since it is divisible by the number (32) 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 30041239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50786507520).

30041239872 is an abundant number, since it is smaller than the sum of its proper divisors (71531775168).

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

30041239872 is a wasteful number, since it uses less digits than its factorization.

30041239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 30041239872 in words is "thirty billion, forty-one million, two hundred thirty-nine thousand, eight hundred seventy-two".