4958307840 has 160 divisors (see below), whose sum is σ = 16280431200. Its totient is φ = 1286406144.

The previous prime is 4958307821. The next prime is 4958307841. The reversal of 4958307840 is 487038594.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4958307840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958307841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275436 + ... + 292884.

It is an arithmetic number, because the mean of its divisors is an integer number (101752695).

Almost surely, 2^4958307840 is an apocalyptic number.

4958307840 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 4958307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140215600).

4958307840 is an abundant number, since it is smaller than the sum of its proper divisors (11322123360).

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

4958307840 is a wasteful number, since it uses less digits than its factorization.

4958307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17512 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 4958307840 is about 70415.2528931055. The cubic root of 4958307840 is about 1705.2098353440.

The spelling of 4958307840 in words is "four billion, nine hundred fifty-eight million, three hundred seven thousand, eight hundred forty".