4309415040 has 256 divisors, whose sum is σ = 15764336640. Its totient is φ = 980889600.

The previous prime is 4309415039. The next prime is 4309415053. The reversal of 4309415040 is 405149034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4309414989 and 4309415007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4179325 + ... + 4180355.

It is an arithmetic number, because the mean of its divisors is an integer number (61579440).

Almost surely, 2^4309415040 is an apocalyptic number.

4309415040 is a gapful number since it is divisible by the number (40) 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 4309415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882168320).

4309415040 is an abundant number, since it is smaller than the sum of its proper divisors (11454921600).

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

4309415040 is a wasteful number, since it uses less digits than its factorization.

4309415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4309415040 is about 65646.1349966622. The cubic root of 4309415040 is about 1627.3192967862.

The spelling of 4309415040 in words is "four billion, three hundred nine million, four hundred fifteen thousand, forty".