14542668404880 has 1920 divisors, whose sum is σ = 61992489369600. Its totient is φ = 2794401792000.

The previous prime is 14542668404879. The next prime is 14542668404893. The reversal of 14542668404880 is 8840486624541.

14542668404880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14542668404880² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15963411625 + ... + 15963412535.

It is an arithmetic number, because the mean of its divisors is an integer number (32287754880).

Almost surely, 2^{14542668404880} is an apocalyptic number.

14542668404880 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 14542668404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996244684800).

14542668404880 is an abundant number, since it is smaller than the sum of its proper divisors (47449820964720).

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

14542668404880 is a wasteful number, since it uses less digits than its factorization.

14542668404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 60.

The spelling of 14542668404880 in words is "fourteen trillion, five hundred forty-two billion, six hundred sixty-eight million, four hundred four thousand, eight hundred eighty".