42006624210 has 96 divisors (see below), whose sum is σ = 112176949248. Its totient is φ = 10899651840.

The previous prime is 42006624203. The next prime is 42006624217. The reversal of 42006624210 is 1242660024.

42006624210 is a `hidden beast` number, since 4 + 20 + 0 + 6 + 624 + 2 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (42006624203) and next prime (42006624217).

It is a super-3 number, since 3×42006624210³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42006624217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398409 + ... + 1428131.

It is an arithmetic number, because the mean of its divisors is an integer number (1168509888).

Almost surely, 2^42006624210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42006624210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56088474624).

42006624210 is an abundant number, since it is smaller than the sum of its proper divisors (70170325038).

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

42006624210 is a wasteful number, since it uses less digits than its factorization.

42006624210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30160 (or 30157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42006624210 in words is "forty-two billion, six million, six hundred twenty-four thousand, two hundred ten".