42105507620 has 96 divisors (see below), whose sum is σ = 98669321856. Its totient is φ = 14962688000.

The previous prime is 42105507553. The next prime is 42105507637. The reversal of 42105507620 is 2670550124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2989595 + ... + 3003645.

It is an arithmetic number, because the mean of its divisors is an integer number (1027805436).

Almost surely, 2^42105507620 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 42105507620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49334660928).

42105507620 is an abundant number, since it is smaller than the sum of its proper divisors (56563814236).

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

42105507620 is a wasteful number, since it uses less digits than its factorization.

42105507620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381 (or 14379 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 42105507620 in words is "forty-two billion, one hundred five million, five hundred seven thousand, six hundred twenty".