20419044072 has 256 divisors, whose sum is σ = 62380800000. Its totient is φ = 5445522432.

The previous prime is 20419044049. The next prime is 20419044083. The reversal of 20419044072 is 27044091402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40919679 + ... + 40920177.

It is an arithmetic number, because the mean of its divisors is an integer number (243675000).

Almost surely, 2^20419044072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20419044072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31190400000).

20419044072 is an abundant number, since it is smaller than the sum of its proper divisors (41961755928).

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

20419044072 is a wasteful number, since it uses less digits than its factorization.

20419044072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 20419044072 in words is "twenty billion, four hundred nineteen million, forty-four thousand, seventy-two".