4958929920 has 352 divisors, whose sum is σ = 19200008448. Its totient is φ = 1066401792.

The previous prime is 4958929891. The next prime is 4958929949. The reversal of 4958929920 is 299298594.

It is an interprime number because it is at equal distance from previous prime (4958929891) and next prime (4958929949).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826484 + ... + 1829196.

Almost surely, 2^4958929920 is an apocalyptic number.

4958929920 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 4958929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600004224).

4958929920 is an abundant number, since it is smaller than the sum of its proper divisors (14241078528).

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

4958929920 is a wasteful number, since it uses less digits than its factorization.

4958929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 4958929920 is about 70419.6699793460. The cubic root of 4958929920 is about 1705.2811454636.

The spelling of 4958929920 in words is "four billion, nine hundred fifty-eight million, nine hundred twenty-nine thousand, nine hundred twenty".