20444405126004 has 264 divisors, whose sum is σ = 55190279165000. Its totient is φ = 6621771866112.

The previous prime is 20444405125951. The next prime is 20444405126009. The reversal of 20444405126004 is 40062150444402.

20444405126004 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 40 + 5 + 1 + 2 + 600 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1388980102500 + 19055425023504 = 1178550^2 + 4365252^2 .

It is a super-2 number, since 2×20444405126004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20444405126004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444405126009) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 10915324812 + ... + 10915326684.

Almost surely, 2^{20444405126004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444405126004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595139582500).

20444405126004 is an abundant number, since it is smaller than the sum of its proper divisors (34745874038996).

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

20444405126004 is a wasteful number, since it uses less digits than its factorization.

20444405126004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 20444405126004 in words is "twenty trillion, four hundred forty-four billion, four hundred five million, one hundred twenty-six thousand, four".