42319872000 has 864 divisors, whose sum is σ = 178626337344. Its totient is φ = 9437184000.

The previous prime is 42319871987. The next prime is 42319872031. The reversal of 42319872000 is 27891324.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032191980 + ... + 1032192020.

It is an arithmetic number, because the mean of its divisors is an integer number (206743446).

Almost surely, 2^42319872000 is an apocalyptic number.

42319872000 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 42319872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89313168672).

42319872000 is an abundant number, since it is smaller than the sum of its proper divisors (136306465344).

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

42319872000 is an frugal number, since it uses more digits than its factorization.

42319872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42319872000 in words is "forty-two billion, three hundred nineteen million, eight hundred seventy-two thousand".