20018440656000 has 1024 divisors, whose sum is σ = 75063905280000. Its totient is φ = 5242789785600.

The previous prime is 20018440655999. The next prime is 20018440656017. The reversal of 20018440656000 is 65604481002.

20018440656000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 8 + 4 + 40 + 6 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6418222441 + ... + 6418225559.

It is an arithmetic number, because the mean of its divisors is an integer number (73304595000).

Almost surely, 2^{20018440656000} is an apocalyptic number.

20018440656000 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 20018440656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37531952640000).

20018440656000 is an abundant number, since it is smaller than the sum of its proper divisors (55045464624000).

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

20018440656000 is a wasteful number, since it uses less digits than its factorization.

20018440656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20018440656000 in words is "twenty trillion, eighteen billion, four hundred forty million, six hundred fifty-six thousand".