7441448040 has 384 divisors, whose sum is σ = 27950832000. Its totient is φ = 1701513216.

The previous prime is 7441447973. The next prime is 7441448071. The reversal of 7441448040 is 408441447.

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

It is a junction number, because it is equal to n+sod(n) for n = 7441447986 and 7441448004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4711971 + ... + 4713549.

It is an arithmetic number, because the mean of its divisors is an integer number (72788625).

Almost surely, 2^7441448040 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 7441448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975416000).

7441448040 is an abundant number, since it is smaller than the sum of its proper divisors (20509383960).

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

7441448040 is a wasteful number, since it uses less digits than its factorization.

7441448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 7441448040 is about 86263.8281088893. The cubic root of 7441448040 is about 1952.3266587211.

Adding to 7441448040 its reverse (408441447), we get a palindrome (7849889487).

The spelling of 7441448040 in words is "seven billion, four hundred forty-one million, four hundred forty-eight thousand, forty".