10401440 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3456000.

The previous prime is 10401439. The next prime is 10401481. The reversal of 10401440 is 4410401.

10401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41315 + ... + 41565.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 2^10401440 is an apocalyptic number.

10401440 is a gapful number since it is divisible by the number (10) 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 10401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

10401440 is an abundant number, since it is smaller than the sum of its proper divisors (18556384).

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

10401440 is a wasteful number, since it uses less digits than its factorization.

10401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

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

The square root of 10401440 is about 3225.1263541139. The cubic root of 10401440 is about 218.2886505431.

Adding to 10401440 its reverse (4410401), we get a palindrome (14811841).

The spelling of 10401440 in words is "ten million, four hundred one thousand, four hundred forty".