4001320 has 32 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1588288.

The previous prime is 4001303. The next prime is 4001339. The reversal of 4001320 is 231004.

It is a Harshad number since it is a multiple of its sum of digits (10).

4001320 is a modest number, since divided by 1320 gives 400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4001297 and 4001306.

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, 6381 + ... + 6979.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^4001320 is an apocalyptic number.

4001320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001320 is an abundant number, since it is smaller than the sum of its proper divisors (5070680).

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

4001320 is a wasteful number, since it uses less digits than its factorization.

4001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4001320 is about 2000.3299727795. The cubic root of 4001320 is about 158.7575646880.

Adding to 4001320 its reverse (231004), we get a palindrome (4232324).

The spelling of 4001320 in words is "four million, one thousand, three hundred twenty".