14111412000 has 576 divisors, whose sum is σ = 54531719424. Its totient is φ = 3180441600.

The previous prime is 14111411989. The next prime is 14111412011. The reversal of 14111412000 is 21411141.

It is an interprime number because it is at equal distance from previous prime (14111411989) and next prime (14111412011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60563884 + ... + 60564116.

It is an arithmetic number, because the mean of its divisors is an integer number (94673124).

Almost surely, 2^14111412000 is an apocalyptic number.

14111412000 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 14111412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27265859712).

14111412000 is an abundant number, since it is smaller than the sum of its proper divisors (40420307424).

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

14111412000 is a wasteful number, since it uses less digits than its factorization.

14111412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 14111412000 its reverse (21411141), we get a palindrome (14132823141).

It can be divided in two parts, 1411141 and 2000, that added together give a palindrome (1413141).

The spelling of 14111412000 in words is "fourteen billion, one hundred eleven million, four hundred twelve thousand".