20411038954944 has 168 divisors, whose sum is σ = 63830120835312. Its totient is φ = 6184488161280.

The previous prime is 20411038954927. The next prime is 20411038954973. The reversal of 20411038954944 is 44945983011402.

20411038954944 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 10 + 3 + 89 + 549 + 4 + 4 = 666.

It is a super-2 number, since 2×20411038954944² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 59469652 + ... + 59811884.

Almost surely, 2^{20411038954944} is an apocalyptic number.

20411038954944 is a gapful number since it is divisible by the number (24) 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 20411038954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31915060417656).

20411038954944 is an abundant number, since it is smaller than the sum of its proper divisors (43419081880368).

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

20411038954944 is a wasteful number, since it uses less digits than its factorization.

20411038954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351675 (or 351662 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20411038954944 in words is "twenty trillion, four hundred eleven billion, thirty-eight million, nine hundred fifty-four thousand, nine hundred forty-four".