4013988 has 48 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1188640.

The previous prime is 4013987. The next prime is 4013993. The reversal of 4013988 is 8893104.

It is a super-2 number, since 2×4013988² = 32224199328288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4013981) 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, 5881 + ... + 6527.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 2^4013988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

4013988 is an abundant number, since it is smaller than the sum of its proper divisors (6436956).

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

4013988 is a wasteful number, since it uses less digits than its factorization.

4013988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4013988 is about 2003.4939480817. The cubic root of 4013988 is about 158.9249279715.

It can be divided in two parts, 40 and 13988, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 4013988 in words is "four million, thirteen thousand, nine hundred eighty-eight".