4014400 has 84 divisors (see below), whose sum is σ = 10692892. Its totient is φ = 1474560.

The previous prime is 4014391. The next prime is 4014401. The reversal of 4014400 is 44104.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 831744 + 3182656 = 912^2 + 1784^2 .

It is a super-2 number, since 2×4014400² = 32230814720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20704 + ... + 20896.

Almost surely, 2^4014400 is an apocalyptic number.

4014400 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 4014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346446).

4014400 is an abundant number, since it is smaller than the sum of its proper divisors (6678492).

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

4014400 is a wasteful number, since it uses less digits than its factorization.

4014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4014400 is about 2003.5967658189. The cubic root of 4014400 is about 158.9303651934.

Adding to 4014400 its reverse (44104), we get a palindrome (4058504).

The spelling of 4014400 in words is "four million, fourteen thousand, four hundred".