1414144410 has 128 divisors (see below), whose sum is σ = 4034188800. Its totient is φ = 317011968.

The previous prime is 1414144399. The next prime is 1414144423. The reversal of 1414144410 is 144414141.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544074 + ... + 546666.

It is an arithmetic number, because the mean of its divisors is an integer number (31517100).

Almost surely, 2^1414144410 is an apocalyptic number.

1414144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017094400).

1414144410 is an abundant number, since it is smaller than the sum of its proper divisors (2620044390).

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

1414144410 is a wasteful number, since it uses less digits than its factorization.

1414144410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1414144410 is about 37605.1114876688. Note that the first 3 decimals coincide. The cubic root of 1414144410 is about 1122.4437525862.

Adding to 1414144410 its reverse (144414141), we get a palindrome (1558558551).

The spelling of 1414144410 in words is "one billion, four hundred fourteen million, one hundred forty-four thousand, four hundred ten".