4920412959 has 72 divisors (see below), whose sum is σ = 9353530368. Its totient is φ = 2555990640.

The previous prime is 4920412909. The next prime is 4920412997. The reversal of 4920412959 is 9592140294.

It is not a de Polignac number, because 4920412959 - 2²⁷ = 4786195231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920412909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112194 + ... + 149760.

It is an arithmetic number, because the mean of its divisors is an integer number (129910144).

Almost surely, 2^4920412959 is an apocalyptic number.

4920412959 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4920412959 is a deficient number, since it is larger than the sum of its proper divisors (4433117409).

4920412959 is a wasteful number, since it uses less digits than its factorization.

4920412959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37607 (or 37588 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4920412959 is about 70145.6553109314. The cubic root of 4920412959 is about 1700.8545829048.

The spelling of 4920412959 in words is "four billion, nine hundred twenty million, four hundred twelve thousand, nine hundred fifty-nine".