42941251584 has 768 divisors, whose sum is σ = 162266757120. Its totient is φ = 10616832000.

The previous prime is 42941251501. The next prime is 42941251667. The reversal of 42941251584 is 48515214924.

42941251584 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 12 + 51 + 584 = 666.

42941251584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42941251501) and next prime (42941251667).

It is a tau number, because it is divible by the number of its divisors (768).

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, 703954914 + ... + 703954974.

It is an arithmetic number, because the mean of its divisors is an integer number (211284840).

Almost surely, 2^42941251584 is an apocalyptic number.

42941251584 is a gapful number since it is divisible by the number (44) 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 42941251584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81133378560).

42941251584 is an abundant number, since it is smaller than the sum of its proper divisors (119325505536).

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

42941251584 is a wasteful number, since it uses less digits than its factorization.

42941251584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 42941251584 in words is "forty-two billion, nine hundred forty-one million, two hundred fifty-one thousand, five hundred eighty-four".