30141424440 has 192 divisors, whose sum is σ = 103363696800. Its totient is φ = 7596343296.

The previous prime is 30141424409. The next prime is 30141424457. The reversal of 30141424440 is 4442414103.

30141424440 is a `hidden beast` number, since 3 + 0 + 1 + 414 + 244 + 4 + 0 = 666.

It is a congruent number.

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, 2956632 + ... + 2966808.

Almost surely, 2^30141424440 is an apocalyptic number.

30141424440 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 30141424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51681848400).

30141424440 is an abundant number, since it is smaller than the sum of its proper divisors (73222272360).

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

30141424440 is a wasteful number, since it uses less digits than its factorization.

30141424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30141424440 its reverse (4442414103), we get a palindrome (34583838543).

It can be divided in two parts, 30141 and 424440, that added together give a triangular number (454581 = T₉₅₃).

The spelling of 30141424440 in words is "thirty billion, one hundred forty-one million, four hundred twenty-four thousand, four hundred forty".