1414401440 has 48 divisors (see below), whose sum is σ = 3372221160. Its totient is φ = 560563200.

The previous prime is 1414401433. The next prime is 1414401481. The reversal of 1414401440 is 441044141.

It can be written as a sum of positive squares in 4 ways, for example, as 1339267216 + 75134224 = 36596^2 + 8668^2 .

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, 23111 + ... + 57990.

Almost surely, 2^1414401440 is an apocalyptic number.

1414401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414401440 is an abundant number, since it is smaller than the sum of its proper divisors (1957819720).

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

1414401440 is a wasteful number, since it uses less digits than its factorization.

1414401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81225 (or 81217 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1414401440 is about 37608.5288199366. The cubic root of 1414401440 is about 1122.5117522988.

Adding to 1414401440 its reverse (441044141), we get a palindrome (1855445581).

The spelling of 1414401440 in words is "one billion, four hundred fourteen million, four hundred one thousand, four hundred forty".