20144415504000 has 256 divisors, whose sum is σ = 67128394844160. Its totient is φ = 5343716864000.

The previous prime is 20144415503963. The next prime is 20144415504001. The reversal of 20144415504000 is 40551444102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20144415504001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8069374 + ... + 10266626.

It is an arithmetic number, because the mean of its divisors is an integer number (262220292360).

Almost surely, 2^{20144415504000} is an apocalyptic number.

20144415504000 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 20144415504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33564197422080).

20144415504000 is an abundant number, since it is smaller than the sum of its proper divisors (46983979340160).

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

20144415504000 is a wasteful number, since it uses less digits than its factorization.

20144415504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197476 (or 2197454 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 20144415504000 its reverse (40551444102), we get a palindrome (20184966948102).

The spelling of 20144415504000 in words is "twenty trillion, one hundred forty-four billion, four hundred fifteen million, five hundred four thousand".