42131610 has 128 divisors (see below), whose sum is σ = 121616640. Its totient is φ = 10340352.

The previous prime is 42131603. The next prime is 42131623. The reversal of 42131610 is 1613124.

It is a happy number.

42131610 is a `hidden beast` number, since 4 + 21 + 31 + 610 = 666.

42131610 is a nontrivial binomial coefficient, being equal to C(9180, 2).

It is a super-2 number, since 2×42131610² = 3550145122384200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307462 + ... + 307598.

It is an arithmetic number, because the mean of its divisors is an integer number (950130).

Almost surely, 2^42131610 is an apocalyptic number.

42131610 is the 9179-th triangular number and also the 4590-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60808320).

42131610 is an abundant number, since it is smaller than the sum of its proper divisors (79485030).

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

42131610 is a wasteful number, since it uses less digits than its factorization.

42131610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42131610 is about 6490.8866882730. The cubic root of 42131610 is about 347.9653651619.

Adding to 42131610 its reverse (1613124), we get a palindrome (43744734).

The spelling of 42131610 in words is "forty-two million, one hundred thirty-one thousand, six hundred ten".