1414441400 has 96 divisors (see below), whose sum is σ = 3349674000. Its totient is φ = 555371520.

The previous prime is 1414441393. The next prime is 1414441409. The reversal of 1414441400 is 41444141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414441409) 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, 4076027 + ... + 4076373.

Almost surely, 2^1414441400 is an apocalyptic number.

1414441400 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 1414441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674837000).

1414441400 is an abundant number, since it is smaller than the sum of its proper divisors (1935232600).

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

1414441400 is a wasteful number, since it uses less digits than its factorization.

1414441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

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

The square root of 1414441400 is about 37609.0600786566. The cubic root of 1414441400 is about 1122.5223233540.

Adding to 1414441400 its reverse (41444141), we get a palindrome (1455885541).

The spelling of 1414441400 in words is "one billion, four hundred fourteen million, four hundred forty-one thousand, four hundred".