14157201408 has 240 divisors, whose sum is σ = 45045450240. Its totient is φ = 3866886144.

The previous prime is 14157201407. The next prime is 14157201419. The reversal of 14157201408 is 80410275141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14157201407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7912578 + ... + 7914366.

It is an arithmetic number, because the mean of its divisors is an integer number (187689376).

Almost surely, 2^14157201408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14157201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522725120).

14157201408 is an abundant number, since it is smaller than the sum of its proper divisors (30888248832).

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

14157201408 is an equidigital number, since it uses as much as digits as its factorization.

14157201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 14157201408 its reverse (80410275141), we get a palindrome (94567476549).

The spelling of 14157201408 in words is "fourteen billion, one hundred fifty-seven million, two hundred one thousand, four hundred eight".