4958778240 has 384 divisors, whose sum is σ = 18846172800. Its totient is φ = 1193803776.

The previous prime is 4958778199. The next prime is 4958778247. The reversal of 4958778240 is 428778594.

It is a happy number.

4958778240 is a `hidden beast` number, since 495 + 8 + 77 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958778247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518656 + ... + 3520064.

It is an arithmetic number, because the mean of its divisors is an integer number (49078575).

Almost surely, 2^4958778240 is an apocalyptic number.

4958778240 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 4958778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423086400).

4958778240 is an abundant number, since it is smaller than the sum of its proper divisors (13887394560).

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

4958778240 is a wasteful number, since it uses less digits than its factorization.

4958778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4958778240 is about 70418.5929992925. The cubic root of 4958778240 is about 1705.2637586694.

The spelling of 4958778240 in words is "four billion, nine hundred fifty-eight million, seven hundred seventy-eight thousand, two hundred forty".