42001611630 has 128 divisors (see below), whose sum is σ = 111616081920. Its totient is φ = 10030200960.

The previous prime is 42001611563. The next prime is 42001611649. The reversal of 42001611630 is 3611610024.

It is a super-3 number, since 3×42001611630³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42001611630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13111609 + ... + 13114811.

It is an arithmetic number, because the mean of its divisors is an integer number (872000640).

Almost surely, 2^42001611630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42001611630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55808040960).

42001611630 is an abundant number, since it is smaller than the sum of its proper divisors (69614470290).

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

42001611630 is a wasteful number, since it uses less digits than its factorization.

42001611630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 42001611630 in words is "forty-two billion, one million, six hundred eleven thousand, six hundred thirty".