7441252416 has 336 divisors, whose sum is σ = 24393591040. Its totient is φ = 2149908480.

The previous prime is 7441252411. The next prime is 7441252421. The reversal of 7441252416 is 6142521447.

It is an interprime number because it is at equal distance from previous prime (7441252411) and next prime (7441252421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7441252411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27458361 + ... + 27458631.

Almost surely, 2^7441252416 is an apocalyptic number.

7441252416 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 7441252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196795520).

7441252416 is an abundant number, since it is smaller than the sum of its proper divisors (16952338624).

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

7441252416 is a wasteful number, since it uses less digits than its factorization.

7441252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7441252416 is about 86262.6942310522. The cubic root of 7441252416 is about 1952.3095507024.

The spelling of 7441252416 in words is "seven billion, four hundred forty-one million, two hundred fifty-two thousand, four hundred sixteen".