4943411640 has 512 divisors, whose sum is σ = 18911232000. Its totient is φ = 1140645888.

The previous prime is 4943411593. The next prime is 4943411651. The reversal of 4943411640 is 461143494.

It is a happy number.

4943411640 is a `hidden beast` number, since 4 + 9 + 4 + 3 + 4 + 1 + 1 + 640 = 666.

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 = 4943411595 and 4943411604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12906889 + ... + 12907271.

It is an arithmetic number, because the mean of its divisors is an integer number (36936000).

Almost surely, 2^4943411640 is an apocalyptic number.

4943411640 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 4943411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455616000).

4943411640 is an abundant number, since it is smaller than the sum of its proper divisors (13967820360).

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

4943411640 is a wasteful number, since it uses less digits than its factorization.

4943411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4943411640 is about 70309.3993716345. The cubic root of 4943411640 is about 1703.5004734951.

The spelling of 4943411640 in words is "four billion, nine hundred forty-three million, four hundred eleven thousand, six hundred forty".