42824236448000 has 1152 divisors, whose sum is σ = 126534622556160. Its totient is φ = 14141487513600.

The previous prime is 42824236447981. The next prime is 42824236448017. The reversal of 42824236448000 is 84463242824.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188653023887 + ... + 188653024113.

It is an arithmetic number, because the mean of its divisors is an integer number (109839082080).

Almost surely, 2^{42824236448000} is an apocalyptic number.

42824236448000 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 42824236448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63267311278080).

42824236448000 is an abundant number, since it is smaller than the sum of its proper divisors (83710386108160).

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

42824236448000 is a wasteful number, since it uses less digits than its factorization.

42824236448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 47.

The spelling of 42824236448000 in words is "forty-two trillion, eight hundred twenty-four billion, two hundred thirty-six million, four hundred forty-eight thousand".