20413515241440 has 288 divisors, whose sum is σ = 71407809083520. Its totient is φ = 5307972083712.

The previous prime is 20413515241409. The next prime is 20413515241477. The reversal of 20413515241440 is 4414251531402.

20413515241440 is a `hidden beast` number, since 2 + 0 + 41 + 3 + 51 + 524 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 20413515241395 and 20413515241404.

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 47 ways as a sum of consecutive naturals, for example, 17645292 + ... + 18766548.

It is an arithmetic number, because the mean of its divisors is an integer number (247943781540).

Almost surely, 2^{20413515241440} is an apocalyptic number.

20413515241440 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 20413515241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703904541760).

20413515241440 is an abundant number, since it is smaller than the sum of its proper divisors (50994293842080).

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

20413515241440 is a wasteful number, since it uses less digits than its factorization.

20413515241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121594 (or 1121583 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 20413515241440 its reverse (4414251531402), we get a palindrome (24827766772842).

The spelling of 20413515241440 in words is "twenty trillion, four hundred thirteen billion, five hundred fifteen million, two hundred forty-one thousand, four hundred forty".