42004268430 has 64 divisors (see below), whose sum is σ = 106420608000. Its totient is φ = 10581148800.

The previous prime is 42004268333. The next prime is 42004268459. The reversal of 42004268430 is 3486240024.

42004268430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42004268391 and 42004268400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93355 + ... + 304505.

It is an arithmetic number, because the mean of its divisors is an integer number (1662822000).

Almost surely, 2^42004268430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004268430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53210304000).

42004268430 is an abundant number, since it is smaller than the sum of its proper divisors (64416339570).

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

42004268430 is a wasteful number, since it uses less digits than its factorization.

42004268430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211529.

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 42004268430 in words is "forty-two billion, four million, two hundred sixty-eight thousand, four hundred thirty".