42098040 has 96 divisors (see below), whose sum is σ = 137620080. Its totient is φ = 11160576.

The previous prime is 42098039. The next prime is 42098047. The reversal of 42098040 is 4089024.

It is a junction number, because it is equal to n+sod(n) for n = 42097995 and 42098013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121147 + ... + 121493.

Almost surely, 2^42098040 is an apocalyptic number.

42098040 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 42098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68810040).

42098040 is an abundant number, since it is smaller than the sum of its proper divisors (95522040).

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

42098040 is a wasteful number, since it uses less digits than its factorization.

42098040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42098040 is about 6488.3002396622. The cubic root of 42098040 is about 347.8729222893.

The spelling of 42098040 in words is "forty-two million, ninety-eight thousand, forty".