30426243408 has 640 divisors, whose sum is σ = 108893030400. Its totient is φ = 8012390400.

The previous prime is 30426243373. The next prime is 30426243433. The reversal of 30426243408 is 80434262403.

30426243408 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 6 + 243 + 408 = 666.

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

It is a congruent number.

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, 66000298 + ... + 66000758.

It is an arithmetic number, because the mean of its divisors is an integer number (170145360).

Almost surely, 2^30426243408 is an apocalyptic number.

30426243408 is a gapful number since it is divisible by the number (38) 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 30426243408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54446515200).

30426243408 is an abundant number, since it is smaller than the sum of its proper divisors (78466786992).

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

30426243408 is a wasteful number, since it uses less digits than its factorization.

30426243408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

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

The spelling of 30426243408 in words is "thirty billion, four hundred twenty-six million, two hundred forty-three thousand, four hundred eight".