42266183680 has 384 divisors, whose sum is σ = 124993290240. Its totient is φ = 13397852160.

The previous prime is 42266183669. The next prime is 42266183681. The reversal of 42266183680 is 8638166224.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 42266183680.

It is not an unprimeable number, because it can be changed into a prime (42266183681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51107427 + ... + 51108253.

It is an arithmetic number, because the mean of its divisors is an integer number (325503360).

Almost surely, 2^42266183680 is an apocalyptic number.

42266183680 is a gapful number since it is divisible by the number (40) 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 42266183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496645120).

42266183680 is an abundant number, since it is smaller than the sum of its proper divisors (82727106560).

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

42266183680 is a wasteful number, since it uses less digits than its factorization.

42266183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 42266183680 in words is "forty-two billion, two hundred sixty-six million, one hundred eighty-three thousand, six hundred eighty".