20414943099360 has 576 divisors, whose sum is σ = 76596145516800. Its totient is φ = 5120329531392.

The previous prime is 20414943099323. The next prime is 20414943099361. The reversal of 20414943099360 is 6399034941402.

20414943099360 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 494 + 3 + 0 + 9 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20414943099297 and 20414943099306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414943099361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102582672 + ... + 102781488.

It is an arithmetic number, because the mean of its divisors is an integer number (132979419300).

Almost surely, 2^{20414943099360} is an apocalyptic number.

20414943099360 is a gapful number since it is divisible by the number (20) 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 20414943099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38298072758400).

20414943099360 is an abundant number, since it is smaller than the sum of its proper divisors (56181202417440).

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

20414943099360 is a wasteful number, since it uses less digits than its factorization.

20414943099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199005 (or 198985 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 20414943099360 in words is "twenty trillion, four hundred fourteen billion, nine hundred forty-three million, ninety-nine thousand, three hundred sixty".