42431688 has 192 divisors, whose sum is σ = 135757440. Its totient is φ = 12317184.

The previous prime is 42431663. The next prime is 42431713. The reversal of 42431688 is 88613424.

It is an interprime number because it is at equal distance from previous prime (42431663) and next prime (42431713).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581220 + ... + 581292.

It is an arithmetic number, because the mean of its divisors is an integer number (707070).

Almost surely, 2^42431688 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 42431688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67878720).

42431688 is an abundant number, since it is smaller than the sum of its proper divisors (93325752).

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

42431688 is a wasteful number, since it uses less digits than its factorization.

42431688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42431688 is about 6513.9610069450. The cubic root of 42431688 is about 348.7895272576.

The spelling of 42431688 in words is "forty-two million, four hundred thirty-one thousand, six hundred eighty-eight".