4961658240 has 960 divisors, whose sum is σ = 22455528480. Its totient is φ = 1021870080.

The previous prime is 4961658209. The next prime is 4961658293. The reversal of 4961658240 is 428561694.

4961658240 is a `hidden beast` number, since 4 + 9 + 61 + 6 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43908424 + ... + 43908536.

Almost surely, 2^4961658240 is an apocalyptic number.

4961658240 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 4961658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227764240).

4961658240 is an abundant number, since it is smaller than the sum of its proper divisors (17493870240).

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

4961658240 is a wasteful number, since it uses less digits than its factorization.

4961658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4961658240 is about 70439.0391757298. The cubic root of 4961658240 is about 1705.5938271468.

It can be divided in two parts, 496165 and 8240, that added together give a palindrome (504405).

The spelling of 4961658240 in words is "four billion, nine hundred sixty-one million, six hundred fifty-eight thousand, two hundred forty".