42001596000 has 576 divisors, whose sum is σ = 183477280896. Its totient is φ = 8861184000.

The previous prime is 42001595959. The next prime is 42001596047. The reversal of 42001596000 is 69510024.

42001596000 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 59 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3269590 + ... + 3282410.

It is an arithmetic number, because the mean of its divisors is an integer number (318536946).

Almost surely, 2^42001596000 is an apocalyptic number.

42001596000 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 42001596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91738640448).

42001596000 is an abundant number, since it is smaller than the sum of its proper divisors (141475684896).

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

42001596000 is a wasteful number, since it uses less digits than its factorization.

42001596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 42001596000 in words is "forty-two billion, one million, five hundred ninety-six thousand".