42113610 has 192 divisors, whose sum is σ = 140175360. Its totient is φ = 8519040.

The previous prime is 42113609. The next prime is 42113611. The reversal of 42113610 is 1631124.

It is a happy number.

42113610 is a `hidden beast` number, since 42 + 1 + 13 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (42113609) and next prime (42113611).

It is a super-2 number, since 2×42113610² = 3547112294464200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42113611) 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, 408819 + ... + 408921.

It is an arithmetic number, because the mean of its divisors is an integer number (730080).

Almost surely, 2^42113610 is an apocalyptic number.

It is a pronic number, being equal to 6489×6490.

It is a practical number, because each smaller number is the sum of distinct divisors of 42113610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

42113610 is an abundant number, since it is smaller than the sum of its proper divisors (98061750).

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

42113610 is a wasteful number, since it uses less digits than its factorization.

42113610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 190 counting only the distinct ones).

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

The square root of 42113610 is about 6489.4999807381. The cubic root of 42113610 is about 347.9158040465.

Adding to 42113610 its reverse (1631124), we get a palindrome (43744734).

The spelling of 42113610 in words is "forty-two million, one hundred thirteen thousand, six hundred ten".