42261261834 has 64 divisors (see below), whose sum is σ = 93841201152. Its totient is φ = 12580444800.

The previous prime is 42261261829. The next prime is 42261261851. The reversal of 42261261834 is 43816216224.

It is a junction number, because it is equal to n+sod(n) for n = 42261261792 and 42261261801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609854 + ... + 1635894.

It is an arithmetic number, because the mean of its divisors is an integer number (1466268768).

Almost surely, 2^42261261834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42261261834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46920600576).

42261261834 is an abundant number, since it is smaller than the sum of its proper divisors (51579939318).

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

42261261834 is a wasteful number, since it uses less digits than its factorization.

42261261834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26491.

The product of its digits is 110592, while the sum is 39.

The spelling of 42261261834 in words is "forty-two billion, two hundred sixty-one million, two hundred sixty-one thousand, eight hundred thirty-four".