42137244576 has 480 divisors, whose sum is σ = 151835523840. Its totient is φ = 11200425984.

The previous prime is 42137244533. The next prime is 42137244629. The reversal of 42137244576 is 67544273124.

42137244576 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 72 + 4 + 4 + 576 = 666.

42137244576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15439180 + ... + 15441908.

It is an arithmetic number, because the mean of its divisors is an integer number (316324008).

Almost surely, 2^42137244576 is an apocalyptic number.

42137244576 is a gapful number since it is divisible by the number (46) 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 42137244576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75917761920).

42137244576 is an abundant number, since it is smaller than the sum of its proper divisors (109698279264).

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

42137244576 is a wasteful number, since it uses less digits than its factorization.

42137244576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2801 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 42137244576 in words is "forty-two billion, one hundred thirty-seven million, two hundred forty-four thousand, five hundred seventy-six".