42664344000 has 448 divisors, whose sum is σ = 145613445120. Its totient is φ = 11001139200.

The previous prime is 42664343983. The next prime is 42664344013. The reversal of 42664344000 is 44346624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122951827 + ... + 122952173.

Almost surely, 2^42664344000 is an apocalyptic number.

42664344000 is a gapful number since it is divisible by the number (40) 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 42664344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72806722560).

42664344000 is an abundant number, since it is smaller than the sum of its proper divisors (102949101120).

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

42664344000 is a wasteful number, since it uses less digits than its factorization.

42664344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 42664344000 in words is "forty-two billion, six hundred sixty-four million, three hundred forty-four thousand".