7441056480 has 576 divisors, whose sum is σ = 28687841280. Its totient is φ = 1605427200.

The previous prime is 7441056479. The next prime is 7441056481. The reversal of 7441056480 is 846501447.

It is an interprime number because it is at equal distance from previous prime (7441056479) and next prime (7441056481).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7441056481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27661786 + ... + 27662054.

It is an arithmetic number, because the mean of its divisors is an integer number (49805280).

Almost surely, 2^7441056480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7441056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343920640).

7441056480 is an abundant number, since it is smaller than the sum of its proper divisors (21246784800).

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

7441056480 is a wasteful number, since it uses less digits than its factorization.

7441056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 7441056480 is about 86261.5585298573. The cubic root of 7441056480 is about 1952.2924150976.

The spelling of 7441056480 in words is "seven billion, four hundred forty-one million, fifty-six thousand, four hundred eighty".