42412680 has 128 divisors (see below), whose sum is σ = 142819200. Its totient is φ = 11195136.

The previous prime is 42412679. The next prime is 42412687. The reversal of 42412680 is 8621424.

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

It is not an unprimeable number, because it can be changed into a prime (42412687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186727 + ... + 186953.

It is an arithmetic number, because the mean of its divisors is an integer number (1115775).

Almost surely, 2^42412680 is an apocalyptic number.

42412680 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 42412680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71409600).

42412680 is an abundant number, since it is smaller than the sum of its proper divisors (100406520).

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

42412680 is a wasteful number, since it uses less digits than its factorization.

42412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42412680 is about 6512.5018234163. The cubic root of 42412680 is about 348.7374374016.

The spelling of 42412680 in words is "forty-two million, four hundred twelve thousand, six hundred eighty".