42172817280 has 384 divisors, whose sum is σ = 148778864640. Its totient is φ = 10153144320.

The previous prime is 42172817261. The next prime is 42172817287. The reversal of 42172817280 is 8271827124.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42172817287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38796897 + ... + 38797983.

It is an arithmetic number, because the mean of its divisors is an integer number (387444960).

Almost surely, 2^42172817280 is an apocalyptic number.

42172817280 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 42172817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74389432320).

42172817280 is an abundant number, since it is smaller than the sum of its proper divisors (106606047360).

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

42172817280 is a wasteful number, since it uses less digits than its factorization.

42172817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 42172817280 in words is "forty-two billion, one hundred seventy-two million, eight hundred seventeen thousand, two hundred eighty".