30422427840 has 336 divisors, whose sum is σ = 123449364480. Its totient is φ = 6729246720.

The previous prime is 30422427839. The next prime is 30422427859. The reversal of 30422427840 is 4872422403.

30422427840 is a `hidden beast` number, since 304 + 2 + 242 + 78 + 40 = 666.

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

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 = 30422427795 and 30422427804.

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, 600621 + ... + 649299.

Almost surely, 2^30422427840 is an apocalyptic number.

30422427840 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 30422427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724682240).

30422427840 is an abundant number, since it is smaller than the sum of its proper divisors (93026936640).

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

30422427840 is a wasteful number, since it uses less digits than its factorization.

30422427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48740 (or 48727 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 30422427840 in words is "thirty billion, four hundred twenty-two million, four hundred twenty-seven thousand, eight hundred forty".