14231261403744 has 384 divisors, whose sum is σ = 47157920022528. Its totient is φ = 3650212392960.

The previous prime is 14231261403707. The next prime is 14231261403763. The reversal of 14231261403744 is 44730416213241.

It is a super-2 number, since 2×14231261403744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14231261403696 and 14231261403705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1854715492 + ... + 1854723164.

It is an arithmetic number, because the mean of its divisors is an integer number (122807083392).

Almost surely, 2^{14231261403744} is an apocalyptic number.

14231261403744 is a gapful number since it is divisible by the number (14) 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 14231261403744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578960011264).

14231261403744 is an abundant number, since it is smaller than the sum of its proper divisors (32926658618784).

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

14231261403744 is a wasteful number, since it uses less digits than its factorization.

14231261403744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

Adding to 14231261403744 its reverse (44730416213241), we get a palindrome (58961677616985).

The spelling of 14231261403744 in words is "fourteen trillion, two hundred thirty-one billion, two hundred sixty-one million, four hundred three thousand, seven hundred forty-four".