42109085340 has 288 divisors, whose sum is σ = 155688099840. Its totient is φ = 8992954368.

The previous prime is 42109085329. The next prime is 42109085341. The reversal of 42109085340 is 4358090124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42109085295 and 42109085304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42109085341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2970309 + ... + 2984451.

It is an arithmetic number, because the mean of its divisors is an integer number (540583680).

Almost surely, 2^42109085340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42109085340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77844049920).

42109085340 is an abundant number, since it is smaller than the sum of its proper divisors (113579014500).

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

42109085340 is a wasteful number, since it uses less digits than its factorization.

42109085340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42109085340 in words is "forty-two billion, one hundred nine million, eighty-five thousand, three hundred forty".