7442286448896 has 1080 divisors, whose sum is σ = 26046802408704. Its totient is φ = 2098579415040.

The previous prime is 7442286448879. The next prime is 7442286448897. The reversal of 7442286448896 is 6988446822447.

7442286448896 is a `hidden beast` number, since 7 + 4 + 4 + 22 + 86 + 448 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7442286448897) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3016734255 + ... + 3016736721.

Almost surely, 2^{7442286448896} is an apocalyptic number.

7442286448896 is a gapful number since it is divisible by the number (76) 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 7442286448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023401204352).

7442286448896 is an abundant number, since it is smaller than the sum of its proper divisors (18604515959808).

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

7442286448896 is a wasteful number, since it uses less digits than its factorization.

7442286448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2535 counting only the distinct ones).

The product of its digits is 1189085184, while the sum is 72.

It can be divided in two parts, 744228 and 6448896, that added together give a square (7193124 = 2682²).

The spelling of 7442286448896 in words is "seven trillion, four hundred forty-two billion, two hundred eighty-six million, four hundred forty-eight thousand, eight hundred ninety-six".