14376401143104 has 1344 divisors, whose sum is σ = 54549612601344. Its totient is φ = 3280435200000.

The previous prime is 14376401143099. The next prime is 14376401143129. The reversal of 14376401143104 is 40134110467341.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2544042679 + ... + 2544048329.

It is an arithmetic number, because the mean of its divisors is an integer number (40587509376).

Almost surely, 2^{14376401143104} is an apocalyptic number.

14376401143104 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 14376401143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27274806300672).

14376401143104 is an abundant number, since it is smaller than the sum of its proper divisors (40173211458240).

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

14376401143104 is a wasteful number, since it uses less digits than its factorization.

14376401143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 14376401143104 in words is "fourteen trillion, three hundred seventy-six billion, four hundred one million, one hundred forty-three thousand, one hundred four".