14132202179040 has 240 divisors, whose sum is σ = 54408978938160. Its totient is φ = 3425988372480.

The previous prime is 14132202179003. The next prime is 14132202179063. The reversal of 14132202179040 is 4097120223141.

14132202179040 is a `hidden beast` number, since 1 + 413 + 2 + 20 + 217 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14132202178986 and 14132202179004.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 49423245 + ... + 49708364.

It is an arithmetic number, because the mean of its divisors is an integer number (226704078909).

Almost surely, 2^{14132202179040} is an apocalyptic number.

14132202179040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132202179040 is an abundant number, since it is smaller than the sum of its proper divisors (40276776759120).

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

14132202179040 is a wasteful number, since it uses less digits than its factorization.

14132202179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99131647 (or 99131630 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14132202179040 in words is "fourteen trillion, one hundred thirty-two billion, two hundred two million, one hundred seventy-nine thousand, forty".