4917921840 has 480 divisors, whose sum is σ = 19459754496. Its totient is φ = 1101496320.

The previous prime is 4917921839. The next prime is 4917921907. The reversal of 4917921840 is 481297194.

It is a happy number.

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

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, 4932222 + ... + 4933218.

Almost surely, 2^4917921840 is an apocalyptic number.

4917921840 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 4917921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729877248).

4917921840 is an abundant number, since it is smaller than the sum of its proper divisors (14541832656).

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

4917921840 is a wasteful number, since it uses less digits than its factorization.

4917921840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4917921840 is about 70127.8963038248. The cubic root of 4917921840 is about 1700.5674968107.

The spelling of 4917921840 in words is "four billion, nine hundred seventeen million, nine hundred twenty-one thousand, eight hundred forty".