42717213672 has 128 divisors (see below), whose sum is σ = 127439308800. Its totient is φ = 11673785088.

The previous prime is 42717213667. The next prime is 42717213683. The reversal of 42717213672 is 27631271724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480333 + ... + 562275.

It is an arithmetic number, because the mean of its divisors is an integer number (995619600).

Almost surely, 2^42717213672 is an apocalyptic number.

42717213672 is a gapful number since it is divisible by the number (42) 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 42717213672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63719654400).

42717213672 is an abundant number, since it is smaller than the sum of its proper divisors (84722095128).

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

42717213672 is a wasteful number, since it uses less digits than its factorization.

42717213672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82095 (or 82091 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The spelling of 42717213672 in words is "forty-two billion, seven hundred seventeen million, two hundred thirteen thousand, six hundred seventy-two".