14414131144 has 64 divisors (see below), whose sum is σ = 31819570560. Its totient is φ = 5992081920.

The previous prime is 14414131133. The next prime is 14414131157. The reversal of 14414131144 is 44113141441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 675324 + ... + 696340.

It is an arithmetic number, because the mean of its divisors is an integer number (497180790).

Almost surely, 2^14414131144 is an apocalyptic number.

14414131144 is a gapful number since it is divisible by the number (14) 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 14414131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909785280).

14414131144 is an abundant number, since it is smaller than the sum of its proper divisors (17405439416).

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

14414131144 is a wasteful number, since it uses less digits than its factorization.

14414131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21398 (or 21394 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 14414131144 its reverse (44113141441), we get a palindrome (58527272585).

The spelling of 14414131144 in words is "fourteen billion, four hundred fourteen million, one hundred thirty-one thousand, one hundred forty-four".