42415632 has 120 divisors (see below), whose sum is σ = 140437440. Its totient is φ = 11692800.

The previous prime is 42415627. The next prime is 42415649. The reversal of 42415632 is 23651424.

42415632 is a `hidden beast` number, since 4 + 24 + 1 + 5 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42415596 and 42415605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28507 + ... + 29957.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^42415632 is an apocalyptic number.

42415632 is a gapful number since it is divisible by the number (42) 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 42415632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

42415632 is an abundant number, since it is smaller than the sum of its proper divisors (98021808).

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

42415632 is a wasteful number, since it uses less digits than its factorization.

42415632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42415632 is about 6512.7284604841. The cubic root of 42415632 is about 348.7455281347.

The spelling of 42415632 in words is "forty-two million, four hundred fifteen thousand, six hundred thirty-two".