20540114713440 has 864 divisors, whose sum is σ = 83407932002304. Its totient is φ = 4588260526080.

The previous prime is 20540114713421. The next prime is 20540114713543. The reversal of 20540114713440 is 4431741104502.

20540114713440 is a `hidden beast` number, since 2 + 0 + 540 + 1 + 1 + 4 + 71 + 3 + 4 + 40 = 666.

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 = 20540114713395 and 20540114713404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 600377935 + ... + 600412145.

It is an arithmetic number, because the mean of its divisors is an integer number (96536958336).

Almost surely, 2^{20540114713440} is an apocalyptic number.

20540114713440 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 20540114713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41703966001152).

20540114713440 is an abundant number, since it is smaller than the sum of its proper divisors (62867817288864).

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

20540114713440 is a wasteful number, since it uses less digits than its factorization.

20540114713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34440 (or 34422 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 20540114713440 its reverse (4431741104502), we get a palindrome (24971855817942).

The spelling of 20540114713440 in words is "twenty trillion, five hundred forty billion, one hundred fourteen million, seven hundred thirteen thousand, four hundred forty".