42210809424 has 200 divisors, whose sum is σ = 140055018048. Its totient is φ = 12022940160.

The previous prime is 42210809411. The next prime is 42210809441. The reversal of 42210809424 is 42490801224.

42210809424 is a `hidden beast` number, since 4 + 221 + 0 + 8 + 0 + 9 + 424 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2995804 + ... + 3009860.

Almost surely, 2^42210809424 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 42210809424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70027509024).

42210809424 is an abundant number, since it is smaller than the sum of its proper divisors (97844208624).

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

42210809424 is a wasteful number, since it uses less digits than its factorization.

42210809424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14415 (or 14400 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42210809424 in words is "forty-two billion, two hundred ten million, eight hundred nine thousand, four hundred twenty-four".