14041431200000 has 432 divisors, whose sum is σ = 35736030747648. Its totient is φ = 5504716800000.

The previous prime is 14041431199979. The next prime is 14041431200029. The reversal of 14041431200000 is 213414041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12917599457 + ... + 12917600543.

Almost surely, 2^{14041431200000} is an apocalyptic number.

14041431200000 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 14041431200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868015373824).

14041431200000 is an abundant number, since it is smaller than the sum of its proper divisors (21694599547648).

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

14041431200000 is an frugal number, since it uses more digits than its factorization.

14041431200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1402 counting only the distinct ones).

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

Adding to 14041431200000 its reverse (213414041), we get a palindrome (14041644614041).

The spelling of 14041431200000 in words is "fourteen trillion, forty-one billion, four hundred thirty-one million, two hundred thousand".