30420400024 has 64 divisors (see below), whose sum is σ = 68080343040. Its totient is φ = 12459553920.

The previous prime is 30420400013. The next prime is 30420400027. The reversal of 30420400024 is 42000402403.

It is a junction number, because it is equal to n+sod(n) for n = 30420399974 and 30420400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30420400027) 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, 1552609 + ... + 1572079.

It is an arithmetic number, because the mean of its divisors is an integer number (1063755360).

Almost surely, 2^30420400024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30420400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34040171520).

30420400024 is an abundant number, since it is smaller than the sum of its proper divisors (37659943016).

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

30420400024 is a wasteful number, since it uses less digits than its factorization.

30420400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20720 (or 20716 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 30420400024 its reverse (42000402403), we get a palindrome (72420802427).

The spelling of 30420400024 in words is "thirty billion, four hundred twenty million, four hundred thousand, twenty-four".