19411748928 has 448 divisors, whose sum is σ = 71002794240. Its totient is φ = 5109350400.

The previous prime is 19411748927. The next prime is 19411748933. The reversal of 19411748928 is 82984711491.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19411748927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4198458 + ... + 4203078.

It is an arithmetic number, because the mean of its divisors is an integer number (158488380).

Almost surely, 2^19411748928 is an apocalyptic number.

19411748928 is a gapful number since it is divisible by the number (18) 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 19411748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35501397120).

19411748928 is an abundant number, since it is smaller than the sum of its proper divisors (51591045312).

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

19411748928 is a wasteful number, since it uses less digits than its factorization.

19411748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4667 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 19411748928 in words is "nineteen billion, four hundred eleven million, seven hundred forty-eight thousand, nine hundred twenty-eight".