42580131840 has 840 divisors, whose sum is σ = 165032437248. Its totient is φ = 10510663680.

The previous prime is 42580131833. The next prime is 42580131929. The reversal of 42580131840 is 4813108524.

42580131840 is a `hidden beast` number, since 4 + 2 + 580 + 1 + 31 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42580131795 and 42580131804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1373552625 + ... + 1373552655.

Almost surely, 2^42580131840 is an apocalyptic number.

42580131840 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 42580131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82516218624).

42580131840 is an abundant number, since it is smaller than the sum of its proper divisors (122452305408).

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

42580131840 is an frugal number, since it uses more digits than its factorization.

42580131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 42580131840 in words is "forty-two billion, five hundred eighty million, one hundred thirty-one thousand, eight hundred forty".