20081416501440 has 3024 divisors, whose sum is σ = 90204893146368. Its totient is φ = 4229622448128.

The previous prime is 20081416501439. The next prime is 20081416501441. The reversal of 20081416501440 is 4410561418002.

20081416501440 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 141 + 6 + 501 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20081416501439) and next prime (20081416501441).

It is a tau number, because it is divible by the number of its divisors (3024).

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 = 20081416501395 and 20081416501404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20081416501441) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 275087897244 + ... + 275087897316.

It is an arithmetic number, because the mean of its divisors is an integer number (29829660432).

Almost surely, 2^{20081416501440} is an apocalyptic number.

20081416501440 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 20081416501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102446573184).

20081416501440 is an abundant number, since it is smaller than the sum of its proper divisors (70123476644928).

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

20081416501440 is an equidigital number, since it uses as much as digits as its factorization.

20081416501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 20081416501440 its reverse (4410561418002), we get a palindrome (24491977919442).

The spelling of 20081416501440 in words is "twenty trillion, eighty-one billion, four hundred sixteen million, five hundred one thousand, four hundred forty".