42416136 has 112 divisors (see below), whose sum is σ = 136406400. Its totient is φ = 12107232.

The previous prime is 42416131. The next prime is 42416141. The reversal of 42416136 is 63161424.

42416136 is a `hidden beast` number, since 4 + 2 + 41 + 613 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42416131) and next prime (42416141).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (42416131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40305 + ... + 41343.

Almost surely, 2^42416136 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 42416136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68203200).

42416136 is an abundant number, since it is smaller than the sum of its proper divisors (93990264).

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

42416136 is a wasteful number, since it uses less digits than its factorization.

42416136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1051 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42416136 is about 6512.7671538295. The cubic root of 42416136 is about 348.7469094419.

The spelling of 42416136 in words is "forty-two million, four hundred sixteen thousand, one hundred thirty-six".