42126461808 has 160 divisors (see below), whose sum is σ = 116632535040. Its totient is φ = 13072899840.

The previous prime is 42126461789. The next prime is 42126461821. The reversal of 42126461808 is 80816462124.

It is a self number, because there is not a number n which added to its sum of digits gives 42126461808.

It is a congruent number.

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, 6188935 + ... + 6195737.

It is an arithmetic number, because the mean of its divisors is an integer number (728953344).

Almost surely, 2^42126461808 is an apocalyptic number.

42126461808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42126461808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58316267520).

42126461808 is an abundant number, since it is smaller than the sum of its proper divisors (74506073232).

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

42126461808 is a wasteful number, since it uses less digits than its factorization.

42126461808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 42126461808 in words is "forty-two billion, one hundred twenty-six million, four hundred sixty-one thousand, eight hundred eight".