19829821440 has 832 divisors, whose sum is σ = 77809519872. Its totient is φ = 4246732800.

The previous prime is 19829821393. The next prime is 19829821493. The reversal of 19829821440 is 4412892891.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a self number, because there is not a number n which added to its sum of digits gives 19829821440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325079010 + ... + 325079070.

Almost surely, 2^19829821440 is an apocalyptic number.

19829821440 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 19829821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38904759936).

19829821440 is an abundant number, since it is smaller than the sum of its proper divisors (57979698432).

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

19829821440 is a wasteful number, since it uses less digits than its factorization.

19829821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 19829821440 in words is "nineteen billion, eight hundred twenty-nine million, eight hundred twenty-one thousand, four hundred forty".