14171001408 has 224 divisors, whose sum is σ = 43781472000. Its totient is φ = 4486090752.

The previous prime is 14171001379. The next prime is 14171001433. The reversal of 14171001408 is 80410017141.

14171001408 is a `hidden beast` number, since 1 + 417 + 100 + 140 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5920660 + ... + 5923052.

It is an arithmetic number, because the mean of its divisors is an integer number (195453000).

Almost surely, 2^14171001408 is an apocalyptic number.

14171001408 is a gapful number since it is divisible by the number (18) 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 14171001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736000).

14171001408 is an abundant number, since it is smaller than the sum of its proper divisors (29610470592).

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

14171001408 is a wasteful number, since it uses less digits than its factorization.

14171001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 14171001408 its reverse (80410017141), we get a palindrome (94581018549).

The spelling of 14171001408 in words is "fourteen billion, one hundred seventy-one million, one thousand, four hundred eight".