42641424 has 160 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 11926656.

The previous prime is 42641419. The next prime is 42641449. The reversal of 42641424 is 42414624.

42641424 = T₂₃₂ + T₂₃₃ + ... + T₆₄₄.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178297 + ... + 178535.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^42641424 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 42641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

42641424 is an abundant number, since it is smaller than the sum of its proper divisors (100206576).

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

42641424 is a wasteful number, since it uses less digits than its factorization.

42641424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42641424 is about 6530.0401223882. The cubic root of 42641424 is about 349.3632613612.

The spelling of 42641424 in words is "forty-two million, six hundred forty-one thousand, four hundred twenty-four".