42642420 has 48 divisors (see below), whose sum is σ = 120281280. Its totient is φ = 11287296.

The previous prime is 42642401. The next prime is 42642473. The reversal of 42642420 is 2424624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5784 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (2505860).

Almost surely, 2^42642420 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 42642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60140640).

42642420 is an abundant number, since it is smaller than the sum of its proper divisors (77638860).

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

42642420 is a wasteful number, since it uses less digits than its factorization.

42642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42642420 is about 6530.1163848740. The cubic root of 42642420 is about 349.3659814322.

The spelling of 42642420 in words is "forty-two million, six hundred forty-two thousand, four hundred twenty".