20413140553440 has 192 divisors, whose sum is σ = 71845134278400. Its totient is φ = 5413093304832.

The previous prime is 20413140553439. The next prime is 20413140553447. The reversal of 20413140553440 is 4435504131402.

20413140553440 is a `hidden beast` number, since 2 + 0 + 41 + 3 + 1 + 40 + 5 + 534 + 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 = 20413140553395 and 20413140553404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413140553447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12425782 + ... + 13972341.

It is an arithmetic number, because the mean of its divisors is an integer number (374193407700).

Almost surely, 2^{20413140553440} is an apocalyptic number.

20413140553440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413140553440 is an abundant number, since it is smaller than the sum of its proper divisors (51431993724960).

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

20413140553440 is a wasteful number, since it uses less digits than its factorization.

20413140553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26398326 (or 26398312 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20413140553440 its reverse (4435504131402), we get a palindrome (24848644684842).

The spelling of 20413140553440 in words is "twenty trillion, four hundred thirteen billion, one hundred forty million, five hundred fifty-three thousand, four hundred forty".