4920007040 has 128 divisors (see below), whose sum is σ = 12746099520. Its totient is φ = 1805230080.

The previous prime is 4920007039. The next prime is 4920007123. The reversal of 4920007040 is 407000294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1387670 + ... + 1391210.

Almost surely, 2^4920007040 is an apocalyptic number.

4920007040 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 4920007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373049760).

4920007040 is an abundant number, since it is smaller than the sum of its proper divisors (7826092480).

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

4920007040 is a wasteful number, since it uses less digits than its factorization.

4920007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4920007040 is about 70142.7618503862. The cubic root of 4920007040 is about 1700.8078098539.

The spelling of 4920007040 in words is "four billion, nine hundred twenty million, seven thousand, forty".