42248286868480 has 704 divisors, whose sum is σ = 135412099080192. Its totient is φ = 12255239208960.

The previous prime is 42248286868393. The next prime is 42248286868499. The reversal of 42248286868480 is 8486868284224.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335435277 + ... + 335561203.

It is an arithmetic number, because the mean of its divisors is an integer number (192346731648).

Almost surely, 2^{42248286868480} is an apocalyptic number.

42248286868480 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 42248286868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67706049540096).

42248286868480 is an abundant number, since it is smaller than the sum of its proper divisors (93163812211712).

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

42248286868480 is a wasteful number, since it uses less digits than its factorization.

42248286868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126030 (or 126012 counting only the distinct ones).

The product of its (nonzero) digits is 603979776, while the sum is 70.

The spelling of 42248286868480 in words is "forty-two trillion, two hundred forty-eight billion, two hundred eighty-six million, eight hundred sixty-eight thousand, four hundred eighty".