42264473328 has 720 divisors, whose sum is σ = 160747524000. Its totient is φ = 10580613120.

The previous prime is 42264473309. The next prime is 42264473353. The reversal of 42264473328 is 82337446224.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 143 ways as a sum of consecutive naturals, for example, 74278228 + ... + 74278796.

It is an arithmetic number, because the mean of its divisors is an integer number (223260450).

Almost surely, 2^42264473328 is an apocalyptic number.

42264473328 is a gapful number since it is divisible by the number (48) 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 42264473328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80373762000).

42264473328 is an abundant number, since it is smaller than the sum of its proper divisors (118483050672).

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

42264473328 is a wasteful number, since it uses less digits than its factorization.

42264473328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 42264473328 in words is "forty-two billion, two hundred sixty-four million, four hundred seventy-three thousand, three hundred twenty-eight".