20244065495040 has 768 divisors, whose sum is σ = 72788731142400. Its totient is φ = 5336614305792.

The previous prime is 20244065495029. The next prime is 20244065495047. The reversal of 20244065495040 is 4059456044202.

It is a happy number.

20244065495040 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 40 + 65 + 49 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20244065495047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18026771919 + ... + 18026773041.

It is an arithmetic number, because the mean of its divisors is an integer number (94776993675).

Almost surely, 2^{20244065495040} is an apocalyptic number.

20244065495040 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 20244065495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36394365571200).

20244065495040 is an abundant number, since it is smaller than the sum of its proper divisors (52544665647360).

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

20244065495040 is a wasteful number, since it uses less digits than its factorization.

20244065495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 20244065495040 in words is "twenty trillion, two hundred forty-four billion, sixty-five million, four hundred ninety-five thousand, forty".