7128925440 has 576 divisors, whose sum is σ = 29273481216. Its totient is φ = 1437106176.

The previous prime is 7128925411. The next prime is 7128925451. The reversal of 7128925440 is 445298217.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7128925392 and 7128925401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8036677 + ... + 8037563.

It is an arithmetic number, because the mean of its divisors is an integer number (50822016).

Almost surely, 2^7128925440 is an apocalyptic number.

7128925440 is a gapful number since it is divisible by the number (70) 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 7128925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636740608).

7128925440 is an abundant number, since it is smaller than the sum of its proper divisors (22144555776).

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

7128925440 is a wasteful number, since it uses less digits than its factorization.

7128925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 7128925440 is about 84432.9641786903. The cubic root of 7128925440 is about 1924.6038822881.

The spelling of 7128925440 in words is "seven billion, one hundred twenty-eight million, nine hundred twenty-five thousand, four hundred forty".