4305842640 has 240 divisors, whose sum is σ = 15925605696. Its totient is φ = 1033881600.

The previous prime is 4305842633. The next prime is 4305842659. The reversal of 4305842640 is 462485034.

4305842640 is a `hidden beast` number, since 4 + 3 + 0 + 5 + 8 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4305842595 and 4305842604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 844900 + ... + 849980.

Almost surely, 2^4305842640 is an apocalyptic number.

4305842640 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 4305842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962802848).

4305842640 is an abundant number, since it is smaller than the sum of its proper divisors (11619763056).

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

4305842640 is a wasteful number, since it uses less digits than its factorization.

4305842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4305842640 is about 65618.9198326214. The cubic root of 4305842640 is about 1626.8695031336.

The spelling of 4305842640 in words is "four billion, three hundred five million, eight hundred forty-two thousand, six hundred forty".