42793344000 has 792 divisors, whose sum is σ = 170054508624. Its totient is φ = 10340352000.

The previous prime is 42793343987. The next prime is 42793344017. The reversal of 42793344000 is 44339724.

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 139391847 + ... + 139392153.

Almost surely, 2^42793344000 is an apocalyptic number.

42793344000 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 42793344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85027254312).

42793344000 is an abundant number, since it is smaller than the sum of its proper divisors (127261164624).

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

42793344000 is a wasteful number, since it uses less digits than its factorization.

42793344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 42793344000 in words is "forty-two billion, seven hundred ninety-three million, three hundred forty-four thousand".