14271490970880 has 576 divisors, whose sum is σ = 55275453112320. Its totient is φ = 3090596659200.

The previous prime is 14271490970831. The next prime is 14271490970881. The reversal of 14271490970880 is 8807909417241.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14271490970881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16603531 + ... + 17441909.

It is an arithmetic number, because the mean of its divisors is an integer number (95964328320).

Almost surely, 2^{14271490970880} is an apocalyptic number.

14271490970880 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 14271490970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637726556160).

14271490970880 is an abundant number, since it is smaller than the sum of its proper divisors (41003962141440).

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

14271490970880 is a wasteful number, since it uses less digits than its factorization.

14271490970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838458 (or 838444 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 14271490970880 in words is "fourteen trillion, two hundred seventy-one billion, four hundred ninety million, nine hundred seventy thousand, eight hundred eighty".