14211043400 has 96 divisors (see below), whose sum is σ = 33587839080. Its totient is φ = 5591040000.

The previous prime is 14211043397. The next prime is 14211043403. The reversal of 14211043400 is 434011241.

It is an interprime number because it is at equal distance from previous prime (14211043397) and next prime (14211043403).

It can be written as a sum of positive squares in 12 ways, for example, as 4379527684 + 9831515716 = 66178^2 + 99154^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14211043403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3169160 + ... + 3173640.

Almost surely, 2^14211043400 is an apocalyptic number.

14211043400 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 14211043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793919540).

14211043400 is an abundant number, since it is smaller than the sum of its proper divisors (19376795680).

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

14211043400 is a wasteful number, since it uses less digits than its factorization.

14211043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14211043400 its reverse (434011241), we get a palindrome (14645054641).

The spelling of 14211043400 in words is "fourteen billion, two hundred eleven million, forty-three thousand, four hundred".