4943917440 has 768 divisors, whose sum is σ = 21721789440. Its totient is φ = 1006387200.

The previous prime is 4943917427. The next prime is 4943917453. The reversal of 4943917440 is 447193494.

4943917440 is a `hidden beast` number, since 4 + 9 + 439 + 174 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4943917427) and next prime (4943917453).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 31489842 + ... + 31489998.

It is an arithmetic number, because the mean of its divisors is an integer number (28283580).

Almost surely, 2^4943917440 is an apocalyptic number.

4943917440 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 4943917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860894720).

4943917440 is an abundant number, since it is smaller than the sum of its proper divisors (16777872000).

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

4943917440 is a wasteful number, since it uses less digits than its factorization.

4943917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4943917440 is about 70312.9962382489. The cubic root of 4943917440 is about 1703.5585711017.

The spelling of 4943917440 in words is "four billion, nine hundred forty-three million, nine hundred seventeen thousand, four hundred forty".