30138416256 has 384 divisors, whose sum is σ = 91173703680. Its totient is φ = 8805888000.

The previous prime is 30138416251. The next prime is 30138416263. The reversal of 30138416256 is 65261483103.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (30138416251) 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, 142835991 + ... + 142836201.

It is an arithmetic number, because the mean of its divisors is an integer number (237431520).

Almost surely, 2^30138416256 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 30138416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45586851840).

30138416256 is an abundant number, since it is smaller than the sum of its proper divisors (61035287424).

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

30138416256 is a wasteful number, since it uses less digits than its factorization.

30138416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 30138416256 its reverse (65261483103), we get a palindrome (95399899359).

The spelling of 30138416256 in words is "thirty billion, one hundred thirty-eight million, four hundred sixteen thousand, two hundred fifty-six".