42136348680 has 192 divisors, whose sum is σ = 144505296000. Its totient is φ = 10626874368.

The previous prime is 42136348673. The next prime is 42136348721. The reversal of 42136348680 is 8684363124.

42136348680 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 634 + 8 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 708331 + ... + 765509.

It is an arithmetic number, because the mean of its divisors is an integer number (752631750).

Almost surely, 2^42136348680 is an apocalyptic number.

42136348680 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 42136348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72252648000).

42136348680 is an abundant number, since it is smaller than the sum of its proper divisors (102368947320).

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

42136348680 is a wasteful number, since it uses less digits than its factorization.

42136348680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57308 (or 57301 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42136348680 in words is "forty-two billion, one hundred thirty-six million, three hundred forty-eight thousand, six hundred eighty".