4014000 has 120 divisors (see below), whose sum is σ = 14082432. Its totient is φ = 1065600.

The previous prime is 4013993. The next prime is 4014001. The reversal of 4014000 is 4104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4014000² = 32224392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4014001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17889 + ... + 18111.

Almost surely, 2^4014000 is an apocalyptic number.

4014000 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 4014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041216).

4014000 is an abundant number, since it is smaller than the sum of its proper divisors (10068432).

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

4014000 is a wasteful number, since it uses less digits than its factorization.

4014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4014000 is about 2003.4969428477. The cubic root of 4014000 is about 158.9250863424.

Adding to 4014000 its reverse (4104), we get a palindrome (4018104).

The spelling of 4014000 in words is "four million, fourteen thousand".