14414434443400 has 48 divisors (see below), whose sum is σ = 33519141959040. Its totient is φ = 5764813454400.

The previous prime is 14414434443373. The next prime is 14414434443413. The reversal of 14414434443400 is 434443441441.

It is a super-5 number, since 5×14414434443400⁵ (a number of 67 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4797616 + ... + 7200415.

It is an arithmetic number, because the mean of its divisors is an integer number (698315457480).

Almost surely, 2^{14414434443400} is an apocalyptic number.

14414434443400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14414434443400 is an abundant number, since it is smaller than the sum of its proper divisors (19104707515640).

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

14414434443400 is a wasteful number, since it uses less digits than its factorization.

14414434443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12004054 (or 12004045 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 14414434443400 its reverse (434443441441), we get a palindrome (14848877884841).

The spelling of 14414434443400 in words is "fourteen trillion, four hundred fourteen billion, four hundred thirty-four million, four hundred forty-three thousand, four hundred".