14413641000 has 384 divisors, whose sum is σ = 50342947200. Its totient is φ = 3429888000.

The previous prime is 14413640981. The next prime is 14413641007. The reversal of 14413641000 is 14631441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14413641007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21416664 + ... + 21417336.

It is an arithmetic number, because the mean of its divisors is an integer number (131101425).

Almost surely, 2^14413641000 is an apocalyptic number.

14413641000 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 14413641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25171473600).

14413641000 is an abundant number, since it is smaller than the sum of its proper divisors (35929306200).

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

14413641000 is a wasteful number, since it uses less digits than its factorization.

14413641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

It can be divided in two parts, 144136 and 41000, that added together give a triangular number (185136 = T₆₀₈).

The spelling of 14413641000 in words is "fourteen billion, four hundred thirteen million, six hundred forty-one thousand".