20471403456000 has 3200 divisors, whose sum is σ = 92225266848000. Its totient is φ = 4506447052800.

The previous prime is 20471403455953. The next prime is 20471403456013. The reversal of 20471403456000 is 65430417402.

20471403456000 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 1 + 4 + 0 + 3 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51565247802 + ... + 51565248198.

It is an arithmetic number, because the mean of its divisors is an integer number (28820395890).

Almost surely, 2^{20471403456000} is an apocalyptic number.

20471403456000 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 20471403456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46112633424000).

20471403456000 is an abundant number, since it is smaller than the sum of its proper divisors (71753863392000).

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

20471403456000 is an frugal number, since it uses more digits than its factorization.

20471403456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20471403456000 in words is "twenty trillion, four hundred seventy-one billion, four hundred three million, four hundred fifty-six thousand".