4959684240 has 320 divisors, whose sum is σ = 18310304256. Its totient is φ = 1086898176.

The previous prime is 4959684229. The next prime is 4959684251. The reversal of 4959684240 is 424869594.

It is an interprime number because it is at equal distance from previous prime (4959684229) and next prime (4959684251).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4537134 + ... + 4538226.

Almost surely, 2^4959684240 is an apocalyptic number.

4959684240 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 4959684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155152128).

4959684240 is an abundant number, since it is smaller than the sum of its proper divisors (13350620016).

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

4959684240 is a wasteful number, since it uses less digits than its factorization.

4959684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 4959684240 is about 70425.0256655970. The cubic root of 4959684240 is about 1705.3676064863.

The spelling of 4959684240 in words is "four billion, nine hundred fifty-nine million, six hundred eighty-four thousand, two hundred forty".