7471319040 has 384 divisors, whose sum is σ = 27054518400. Its totient is φ = 1955266560.

The previous prime is 7471318993. The next prime is 7471319047. The reversal of 7471319040 is 409131747.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 7471318986 and 7471319004.

It is not an unprimeable number, because it can be changed into a prime (7471319047) 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, 16865059 + ... + 16865501.

It is an arithmetic number, because the mean of its divisors is an integer number (70454475).

Almost surely, 2^7471319040 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 7471319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527259200).

7471319040 is an abundant number, since it is smaller than the sum of its proper divisors (19583199360).

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

7471319040 is a wasteful number, since it uses less digits than its factorization.

7471319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7471319040 is about 86436.7921662992. The cubic root of 7471319040 is about 1954.9354740468.

The spelling of 7471319040 in words is "seven billion, four hundred seventy-one million, three hundred nineteen thousand, forty".