42721891590 has 192 divisors, whose sum is σ = 124004929536. Its totient is φ = 9226185984.

The previous prime is 42721891567. The next prime is 42721891613. The reversal of 42721891590 is 9519812724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42721891567) and next prime (42721891613).

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 95 ways as a sum of consecutive naturals, for example, 49503499 + ... + 49504361.

It is an arithmetic number, because the mean of its divisors is an integer number (645859008).

Almost surely, 2^42721891590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721891590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62002464768).

42721891590 is an abundant number, since it is smaller than the sum of its proper divisors (81283037946).

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

42721891590 is a wasteful number, since it uses less digits than its factorization.

42721891590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 42721891590 in words is "forty-two billion, seven hundred twenty-one million, eight hundred ninety-one thousand, five hundred ninety".