42748812288 has 528 divisors, whose sum is σ = 156792994560. Its totient is φ = 11265785856.

The previous prime is 42748812269. The next prime is 42748812311. The reversal of 42748812288 is 88221884724.

42748812288 is a `hidden beast` number, since 4 + 274 + 88 + 12 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32706931 + ... + 32708237.

Almost surely, 2^42748812288 is an apocalyptic number.

42748812288 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 42748812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78396497280).

42748812288 is an abundant number, since it is smaller than the sum of its proper divisors (114044182272).

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

42748812288 is a wasteful number, since it uses less digits than its factorization.

42748812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1332 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 54.

The spelling of 42748812288 in words is "forty-two billion, seven hundred forty-eight million, eight hundred twelve thousand, two hundred eighty-eight".