20400436800000 has 1440 divisors, whose sum is σ = 78093379203840. Its totient is φ = 5112115200000.

The previous prime is 20400436799983. The next prime is 20400436800047. The reversal of 20400436800000 is 863400402.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 47332799785 + ... + 47332800215.

It is an arithmetic number, because the mean of its divisors is an integer number (54231513336).

Almost surely, 2^{20400436800000} is an apocalyptic number.

20400436800000 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 20400436800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39046689601920).

20400436800000 is an abundant number, since it is smaller than the sum of its proper divisors (57692942403840).

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

20400436800000 is an equidigital number, since it uses as much as digits as its factorization.

20400436800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20400436800000 in words is "twenty trillion, four hundred billion, four hundred thirty-six million, eight hundred thousand".