19841825040 has 80 divisors (see below), whose sum is σ = 61627656768. Its totient is φ = 5281003008.

The previous prime is 19841825033. The next prime is 19841825041. The reversal of 19841825040 is 4052814891.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 19841824983 and 19841825001.

It is not an unprimeable number, because it can be changed into a prime (19841825041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46482 + ... + 204558.

Almost surely, 2^19841825040 is an apocalyptic number.

19841825040 is a gapful number since it is divisible by the number (10) 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 19841825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30813828384).

19841825040 is an abundant number, since it is smaller than the sum of its proper divisors (41785831728).

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

19841825040 is a wasteful number, since it uses less digits than its factorization.

19841825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158616 (or 158610 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 19841825040 in words is "nineteen billion, eight hundred forty-one million, eight hundred twenty-five thousand, forty".