42375288000 has 448 divisors, whose sum is σ = 149082605568. Its totient is φ = 10568908800.

The previous prime is 42375287987. The next prime is 42375288019. The reversal of 42375288000 is 88257324.

It is a self number, because there is not a number n which added to its sum of digits gives 42375288000.

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 63 ways as a sum of consecutive naturals, for example, 115463817 + ... + 115464183.

Almost surely, 2^42375288000 is an apocalyptic number.

42375288000 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 42375288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74541302784).

42375288000 is an abundant number, since it is smaller than the sum of its proper divisors (106707317568).

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

42375288000 is a wasteful number, since it uses less digits than its factorization.

42375288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 42375288000 in words is "forty-two billion, three hundred seventy-five million, two hundred eighty-eight thousand".