4920079440 has 320 divisors, whose sum is σ = 16490944512. Its totient is φ = 1210982400.

The previous prime is 4920079421. The next prime is 4920079481. The reversal of 4920079440 is 449700294.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16791934 + ... + 16792226.

Almost surely, 2^4920079440 is an apocalyptic number.

4920079440 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 4920079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245472256).

4920079440 is an abundant number, since it is smaller than the sum of its proper divisors (11570865072).

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

4920079440 is a wasteful number, since it uses less digits than its factorization.

4920079440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4920079440 is about 70143.2779388018. The cubic root of 4920079440 is about 1700.8161525169.

The spelling of 4920079440 in words is "four billion, nine hundred twenty million, seventy-nine thousand, four hundred forty".