42004314264 has 128 divisors (see below), whose sum is σ = 115988889600. Its totient is φ = 12570445440.

The previous prime is 42004314257. The next prime is 42004314281. The reversal of 42004314264 is 46241340024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7608097 + ... + 7613615.

It is an arithmetic number, because the mean of its divisors is an integer number (906163200).

Almost surely, 2^42004314264 is an apocalyptic number.

42004314264 is a gapful number since it is divisible by the number (44) 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 42004314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57994444800).

42004314264 is an abundant number, since it is smaller than the sum of its proper divisors (73984575336).

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

42004314264 is a wasteful number, since it uses less digits than its factorization.

42004314264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42004314264 its reverse (46241340024), we get a palindrome (88245654288).

The spelling of 42004314264 in words is "forty-two billion, four million, three hundred fourteen thousand, two hundred sixty-four".