4013809280 has 128 divisors (see below), whose sum is σ = 10877932800. Its totient is φ = 1403965440.

The previous prime is 4013809273. The next prime is 4013809301. The reversal of 4013809280 is 829083104.

It is a happy number.

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

It is a super-2 number, since 2×4013809280² = 32221329872428236800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013809280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145385 + ... + 170775.

It is an arithmetic number, because the mean of its divisors is an integer number (84983850).

Almost surely, 2^4013809280 is an apocalyptic number.

4013809280 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 4013809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438966400).

4013809280 is an abundant number, since it is smaller than the sum of its proper divisors (6864123520).

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

4013809280 is a wasteful number, since it uses less digits than its factorization.

4013809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25442 (or 25430 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4013809280 is about 63354.6310856594. The cubic root of 4013809280 is about 1589.2256926284.

The spelling of 4013809280 in words is "four billion, thirteen million, eight hundred nine thousand, two hundred eighty".