14540240961792 has 324 divisors, whose sum is σ = 51881173990464. Its totient is φ = 3834788106240.

The previous prime is 14540240961781. The next prime is 14540240961793. The reversal of 14540240961792 is 29716904204541.

14540240961792 is a `hidden beast` number, since 1 + 4 + 540 + 2 + 4 + 0 + 9 + 6 + 1 + 7 + 92 = 666.

It is a super-2 number, since 2×14540240961792² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14540240961793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58317 + ... + 5392947.

Almost surely, 2^{14540240961792} is an apocalyptic number.

14540240961792 is a gapful number since it is divisible by the number (12) 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 14540240961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940586995232).

14540240961792 is an abundant number, since it is smaller than the sum of its proper divisors (37340933028672).

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

14540240961792 is a wasteful number, since it uses less digits than its factorization.

14540240961792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334686 (or 5334656 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14540240961792 in words is "fourteen trillion, five hundred forty billion, two hundred forty million, nine hundred sixty-one thousand, seven hundred ninety-two".