4306115640 has 128 divisors (see below), whose sum is σ = 13750378560. Its totient is φ = 1075052544.

The previous prime is 4306115629. The next prime is 4306115687. The reversal of 4306115640 is 465116034.

It is a Cunningham number, because it is equal to 65621²-1.

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 = 4306115598 and 4306115607.

It is a congruent number.

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, 388252 + ... + 399188.

Almost surely, 2^4306115640 is an apocalyptic number.

4306115640 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 4306115640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875189280).

4306115640 is an abundant number, since it is smaller than the sum of its proper divisors (9444262920).

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

4306115640 is a wasteful number, since it uses less digits than its factorization.

4306115640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11157 counting only the distinct ones).

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

The square root of 4306115640 is about 65620.9999923805. Note that the first 5 decimals coincide. The cubic root of 4306115640 is about 1626.9038847886.

The spelling of 4306115640 in words is "four billion, three hundred six million, one hundred fifteen thousand, six hundred forty".