42266148288 has 336 divisors, whose sum is σ = 141043493376. Its totient is φ = 10933678080.

The previous prime is 42266148263. The next prime is 42266148293. The reversal of 42266148288 is 88284166224.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×42266148288² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42266148288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12036453 + ... + 12039963.

Almost surely, 2^42266148288 is an apocalyptic number.

42266148288 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 42266148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70521746688).

42266148288 is an abundant number, since it is smaller than the sum of its proper divisors (98777345088).

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

42266148288 is a wasteful number, since it uses less digits than its factorization.

42266148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3589 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 42266148288 in words is "forty-two billion, two hundred sixty-six million, one hundred forty-eight thousand, two hundred eighty-eight".