4283761280 has 128 divisors (see below), whose sum is σ = 10855900800. Its totient is φ = 1611878400.

The previous prime is 4283761271. The next prime is 4283761283. The reversal of 4283761280 is 821673824.

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

It is a super-2 number, since 2×4283761280² = 36701221408054476800, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4283761283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834994 + ... + 1837326.

It is an arithmetic number, because the mean of its divisors is an integer number (84811725).

Almost surely, 2^4283761280 is an apocalyptic number.

4283761280 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 4283761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427950400).

4283761280 is an abundant number, since it is smaller than the sum of its proper divisors (6572139520).

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

4283761280 is a wasteful number, since it uses less digits than its factorization.

4283761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 4283761280 is about 65450.4490435322. The cubic root of 4283761280 is about 1624.0837476124.

The spelling of 4283761280 in words is "four billion, two hundred eighty-three million, seven hundred sixty-one thousand, two hundred eighty".