13975241280 has 448 divisors, whose sum is σ = 59579670528. Its totient is φ = 2680381440.

The previous prime is 13975241279. The next prime is 13975241303. The reversal of 13975241280 is 8214257931.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 953689 + ... + 968231.

It is an arithmetic number, because the mean of its divisors is an integer number (132990336).

Almost surely, 2^13975241280 is an apocalyptic number.

13975241280 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 13975241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789835264).

13975241280 is an abundant number, since it is smaller than the sum of its proper divisors (45604429248).

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

13975241280 is a wasteful number, since it uses less digits than its factorization.

13975241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

It can be divided in two parts, 13975 and 241280, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 13975241280 in words is "thirteen billion, nine hundred seventy-five million, two hundred forty-one thousand, two hundred eighty".