30141121440 has 192 divisors, whose sum is σ = 98179845120. Its totient is φ = 7764664320.

The previous prime is 30141121433. The next prime is 30141121469. The reversal of 30141121440 is 4412114103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10548492 + ... + 10551348.

It is an arithmetic number, because the mean of its divisors is an integer number (511353360).

Almost surely, 2^30141121440 is an apocalyptic number.

30141121440 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 30141121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49089922560).

30141121440 is an abundant number, since it is smaller than the sum of its proper divisors (68038723680).

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

30141121440 is a wasteful number, since it uses less digits than its factorization.

30141121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 30141121440 its reverse (4412114103), we get a palindrome (34553235543).

The spelling of 30141121440 in words is "thirty billion, one hundred forty-one million, one hundred twenty-one thousand, four hundred forty".