4334912640 has 160 divisors (see below), whose sum is σ = 15480940860. Its totient is φ = 1155962880.

The previous prime is 4334912639. The next prime is 4334912651. The reversal of 4334912640 is 462194334.

It is a happy number.

4334912640 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 9 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3987164736 + 347747904 = 63144^2 + 18648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 = 4334912595 and 4334912604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10030 + ... + 93650.

Almost surely, 2^4334912640 is an apocalyptic number.

4334912640 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 4334912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740470430).

4334912640 is an abundant number, since it is smaller than the sum of its proper divisors (11146028220).

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

4334912640 is an equidigital number, since it uses as much as digits as its factorization.

4334912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83652 (or 83631 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4334912640 is about 65840.0534629188. The cubic root of 4334912640 is about 1630.5224516171.

The spelling of 4334912640 in words is "four billion, three hundred thirty-four million, nine hundred twelve thousand, six hundred forty".