42263430804 has 288 divisors, whose sum is σ = 130809692160. Its totient is φ = 11760686784.

The previous prime is 42263430799. The next prime is 42263430821. The reversal of 42263430804 is 40803436224.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91281477 + ... + 91281939.

It is an arithmetic number, because the mean of its divisors is an integer number (454200320).

Almost surely, 2^42263430804 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 42263430804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65404846080).

42263430804 is an abundant number, since it is smaller than the sum of its proper divisors (88546261356).

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

42263430804 is a wasteful number, since it uses less digits than its factorization.

42263430804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

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

The spelling of 42263430804 in words is "forty-two billion, two hundred sixty-three million, four hundred thirty thousand, eight hundred four".