7401440928 has 192 divisors, whose sum is σ = 22945628160. Its totient is φ = 2044818432.

The previous prime is 7401440927. The next prime is 7401440951. The reversal of 7401440928 is 8290441047.

It is not an unprimeable number, because it can be changed into a prime (7401440927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4449825 + ... + 4451487.

It is an arithmetic number, because the mean of its divisors is an integer number (119508480).

Almost surely, 2^7401440928 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 7401440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472814080).

7401440928 is an abundant number, since it is smaller than the sum of its proper divisors (15544187232).

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

7401440928 is a wasteful number, since it uses less digits than its factorization.

7401440928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 7401440928 is about 86031.6274866401. The cubic root of 7401440928 is about 1948.8216354731.

The spelling of 7401440928 in words is "seven billion, four hundred one million, four hundred forty thousand, nine hundred twenty-eight".