30456099840 has 176 divisors, whose sum is σ = 98311023360. Its totient is φ = 8046673920.

The previous prime is 30456099809. The next prime is 30456099847. The reversal of 30456099840 is 4899065403.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30456099840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30456099847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665145 + ... + 1683335.

It is an arithmetic number, because the mean of its divisors is an integer number (558585360).

Almost surely, 2^30456099840 is an apocalyptic number.

30456099840 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 30456099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49155511680).

30456099840 is an abundant number, since it is smaller than the sum of its proper divisors (67854923520).

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

30456099840 is a wasteful number, since it uses less digits than its factorization.

30456099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18328 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 30456099840 in words is "thirty billion, four hundred fifty-six million, ninety-nine thousand, eight hundred forty".