30238442640 has 640 divisors, whose sum is σ = 128768901120. Its totient is φ = 6364127232.

The previous prime is 30238442551. The next prime is 30238442669. The reversal of 30238442640 is 4624483203.

30238442640 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 8 + 4 + 4 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30238442595 and 30238442604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12079629 + ... + 12082131.

It is an arithmetic number, because the mean of its divisors is an integer number (201201408).

Almost surely, 2^30238442640 is an apocalyptic number.

30238442640 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 30238442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64384450560).

30238442640 is an abundant number, since it is smaller than the sum of its proper divisors (98530458480).

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

30238442640 is a wasteful number, since it uses less digits than its factorization.

30238442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

It can be divided in two parts, 30238 and 442640, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 30238442640 in words is "thirty billion, two hundred thirty-eight million, four hundred forty-two thousand, six hundred forty".