4096431360 has 864 divisors, whose sum is σ = 17616009600. Its totient is φ = 898007040.

The previous prime is 4096431349. The next prime is 4096431371. The reversal of 4096431360 is 631346904.

4096431360 is a `hidden beast` number, since 4 + 0 + 9 + 643 + 1 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4096431349) and next prime (4096431371).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69431011 + ... + 69431069.

It is an arithmetic number, because the mean of its divisors is an integer number (20388900).

Almost surely, 2^4096431360 is an apocalyptic number.

4096431360 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 4096431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808004800).

4096431360 is an abundant number, since it is smaller than the sum of its proper divisors (13519578240).

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

4096431360 is a wasteful number, since it uses less digits than its factorization.

4096431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4096431360 is about 64003.3699112789. The cubic root of 4096431360 is about 1600.0561646951.

The spelling of 4096431360 in words is "four billion, ninety-six million, four hundred thirty-one thousand, three hundred sixty".