4013840 has 40 divisors (see below), whose sum is σ = 9427968. Its totient is φ = 1589120.

The previous prime is 4013837. The next prime is 4013851. The reversal of 4013840 is 483104.

4013840 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4013840² = 32221823091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10289 + ... + 10671.

Almost surely, 2^4013840 is an apocalyptic number.

4013840 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 4013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984).

4013840 is an abundant number, since it is smaller than the sum of its proper divisors (5414128).

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

4013840 is a wasteful number, since it uses less digits than its factorization.

4013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4013840 is about 2003.4570122665. The cubic root of 4013840 is about 158.9229747039.

Adding to 4013840 its reverse (483104), we get a palindrome (4496944).

The spelling of 4013840 in words is "four million, thirteen thousand, eight hundred forty".