4101440 has 56 divisors (see below), whose sum is σ = 11167872. Its totient is φ = 1405440.

The previous prime is 4101431. The next prime is 4101467. The reversal of 4101440 is 441014.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

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, 1325 + ... + 3155.

Almost surely, 2^4101440 is an apocalyptic number.

4101440 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 4101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583936).

4101440 is an abundant number, since it is smaller than the sum of its proper divisors (7066432).

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

4101440 is a wasteful number, since it uses less digits than its factorization.

4101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4101440 is about 2025.2012245700. The cubic root of 4101440 is about 160.0708019979.

Adding to 4101440 its reverse (441014), we get a palindrome (4542454).

The spelling of 4101440 in words is "four million, one hundred one thousand, four hundred forty".