4920701440 has 160 divisors (see below), whose sum is σ = 12374208000. Its totient is φ = 1874116608.

The previous prime is 4920701407. The next prime is 4920701441. The reversal of 4920701440 is 441070294.

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

It is not an unprimeable number, because it can be changed into a prime (4920701441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5864541 + ... + 5865379.

It is an arithmetic number, because the mean of its divisors is an integer number (77338800).

Almost surely, 2^4920701440 is an apocalyptic number.

4920701440 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 4920701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104000).

4920701440 is an abundant number, since it is smaller than the sum of its proper divisors (7453506560).

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

4920701440 is an equidigital number, since it uses as much as digits as its factorization.

4920701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4920701440 is about 70147.7115806353. The cubic root of 4920701440 is about 1700.8878222993.

The spelling of 4920701440 in words is "four billion, nine hundred twenty million, seven hundred one thousand, four hundred forty".