14542986240 has 264 divisors, whose sum is σ = 52261875120. Its totient is φ = 3877797888.

The previous prime is 14542986229. The next prime is 14542986247. The reversal of 14542986240 is 4268924541.

It is a happy number.

14542986240 is a `hidden beast` number, since 1 + 4 + 542 + 9 + 8 + 62 + 40 = 666.

It is a super-2 number, since 2×14542986240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14542986247) 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 23 ways as a sum of consecutive naturals, for example, 1238316 + ... + 1250004.

Almost surely, 2^14542986240 is an apocalyptic number.

14542986240 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 14542986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26130937560).

14542986240 is an abundant number, since it is smaller than the sum of its proper divisors (37718888880).

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

14542986240 is an equidigital number, since it uses as much as digits as its factorization.

14542986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14542986240 in words is "fourteen billion, five hundred forty-two million, nine hundred eighty-six thousand, two hundred forty".