20048440405728 has 384 divisors, whose sum is σ = 63866241331200. Its totient is φ = 5385406537728.

The previous prime is 20048440405727. The next prime is 20048440405733. The reversal of 20048440405728 is 82750404484002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20048440405727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180383838 + ... + 180494946.

It is an arithmetic number, because the mean of its divisors is an integer number (166318336800).

Almost surely, 2^{20048440405728} is an apocalyptic number.

20048440405728 is a gapful number since it is divisible by the number (28) 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 20048440405728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933120665600).

20048440405728 is an abundant number, since it is smaller than the sum of its proper divisors (43817800925472).

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

20048440405728 is a wasteful number, since it uses less digits than its factorization.

20048440405728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111402 (or 111394 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 48.

The spelling of 20048440405728 in words is "twenty trillion, forty-eight billion, four hundred forty million, four hundred five thousand, seven hundred twenty-eight".