4001280 has 80 divisors (see below), whose sum is σ = 12816144. Its totient is φ = 1064960.

The previous prime is 4001269. The next prime is 4001303. The reversal of 4001280 is 821004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7420 + ... + 7940.

Almost surely, 2^4001280 is an apocalyptic number.

4001280 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 4001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408072).

4001280 is an abundant number, since it is smaller than the sum of its proper divisors (8814864).

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

4001280 is an equidigital number, since it uses as much as digits as its factorization.

4001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4001280 is about 2000.3199744041. The cubic root of 4001280 is about 158.7570356689.

Adding to 4001280 its reverse (821004), we get a palindrome (4822284).

It can be divided in two parts, 400 and 1280, that multiplied together give a cube (512000 = 80³).

The spelling of 4001280 in words is "four million, one thousand, two hundred eighty".