20440436453760 has 256 divisors, whose sum is σ = 67721029205760. Its totient is φ = 5239565918208.

The previous prime is 20440436453741. The next prime is 20440436453777. The reversal of 20440436453760 is 6735463404402.

It is a super-2 number, since 2×20440436453760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4162999 + ... + 7629641.

It is an arithmetic number, because the mean of its divisors is an integer number (264535270335).

Almost surely, 2^{20440436453760} is an apocalyptic number.

20440436453760 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 20440436453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860514602880).

20440436453760 is an abundant number, since it is smaller than the sum of its proper divisors (47280592752000).

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

20440436453760 is a wasteful number, since it uses less digits than its factorization.

20440436453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466785 (or 3466773 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 20440436453760 in words is "twenty trillion, four hundred forty billion, four hundred thirty-six million, four hundred fifty-three thousand, seven hundred sixty".