42172734308040 has 1280 divisors, whose sum is σ = 174937406054400. Its totient is φ = 8897496274944.

The previous prime is 42172734308027. The next prime is 42172734308129. The reversal of 42172734308040 is 4080343727124.

42172734308040 is a `hidden beast` number, since 4 + 2 + 1 + 72 + 73 + 430 + 80 + 4 + 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 319 ways as a sum of consecutive naturals, for example, 4597480894 + ... + 4597490066.

It is an arithmetic number, because the mean of its divisors is an integer number (136669848480).

Almost surely, 2^{42172734308040} is an apocalyptic number.

42172734308040 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 42172734308040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87468703027200).

42172734308040 is an abundant number, since it is smaller than the sum of its proper divisors (132764671746360).

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

42172734308040 is a wasteful number, since it uses less digits than its factorization.

42172734308040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 42172734308040 in words is "forty-two trillion, one hundred seventy-two billion, seven hundred thirty-four million, three hundred eight thousand, forty".