42109116280 has 192 divisors, whose sum is σ = 127307311200. Its totient is φ = 12352757760.

The previous prime is 42109116277. The next prime is 42109116281. The reversal of 42109116280 is 8261190124.

It is a happy number.

It is a super-2 number, since 2×42109116280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42109116281) 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, 309076 + ... + 423964.

Almost surely, 2^42109116280 is an apocalyptic number.

42109116280 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 42109116280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63653655600).

42109116280 is an abundant number, since it is smaller than the sum of its proper divisors (85198194920).

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

42109116280 is a wasteful number, since it uses less digits than its factorization.

42109116280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114942 (or 114931 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 42109116280 in words is "forty-two billion, one hundred nine million, one hundred sixteen thousand, two hundred eighty".