20413906426368 has 1920 divisors, whose sum is σ = 79274126131200. Its totient is φ = 5205824225280.

The previous prime is 20413906426321. The next prime is 20413906426369. The reversal of 20413906426368 is 86362460931402.

20413906426368 is a `hidden beast` number, since 2 + 0 + 413 + 90 + 64 + 26 + 3 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20413906426369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17197898671 + ... + 17197899857.

It is an arithmetic number, because the mean of its divisors is an integer number (41288607360).

Almost surely, 2^{20413906426368} is an apocalyptic number.

20413906426368 is a gapful number since it is divisible by the number (28) 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 20413906426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39637063065600).

20413906426368 is an abundant number, since it is smaller than the sum of its proper divisors (58860219704832).

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

20413906426368 is an equidigital number, since it uses as much as digits as its factorization.

20413906426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 20413906426368 in words is "twenty trillion, four hundred thirteen billion, nine hundred six million, four hundred twenty-six thousand, three hundred sixty-eight".