14142579668240 has 20 divisors (see below), whose sum is σ = 32881497728844. Its totient is φ = 5657031867264.

The previous prime is 14142579668237. The next prime is 14142579668249. The reversal of 14142579668240 is 4286697524141.

It can be written as a sum of positive squares in 2 ways, for example, as 3814943363344 + 10327636304896 = 1953188^2 + 3213664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×14142579668240³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14142579668240.

It is not an unprimeable number, because it can be changed into a prime (14142579668249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88391122847 + ... + 88391123006.

Almost surely, 2^{14142579668240} is an apocalyptic number.

14142579668240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14142579668240 is an abundant number, since it is smaller than the sum of its proper divisors (18738918060604).

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

14142579668240 is a wasteful number, since it uses less digits than its factorization.

14142579668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176782245866 (or 176782245860 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 14142579668240 in words is "fourteen trillion, one hundred forty-two billion, five hundred seventy-nine million, six hundred sixty-eight thousand, two hundred forty".