14542049157840 has 480 divisors, whose sum is σ = 51077825809920. Its totient is φ = 3702994735104.

The previous prime is 14542049157827. The next prime is 14542049157851. The reversal of 14542049157840 is 4875194024541.

14542049157840 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 20 + 4 + 9 + 1 + 578 + 40 = 666.

14542049157840 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 2×14542049157840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1834491957 + ... + 1834499883.

It is an arithmetic number, because the mean of its divisors is an integer number (106412137104).

Almost surely, 2^{14542049157840} is an apocalyptic number.

14542049157840 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 14542049157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25538912904960).

14542049157840 is an abundant number, since it is smaller than the sum of its proper divisors (36535776652080).

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

14542049157840 is a wasteful number, since it uses less digits than its factorization.

14542049157840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 14542049157840 in words is "fourteen trillion, five hundred forty-two billion, forty-nine million, one hundred fifty-seven thousand, eight hundred forty".