19914440832 has 576 divisors, whose sum is σ = 71807355360. Its totient is φ = 5233213440.

The previous prime is 19914440831. The next prime is 19914440837. The reversal of 19914440832 is 23804441991.

19914440832 is a `hidden beast` number, since 199 + 14 + 440 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19914440831) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 36406383 + ... + 36406929.

Almost surely, 2^19914440832 is an apocalyptic number.

19914440832 is a gapful number since it is divisible by the number (12) 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 19914440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35903677680).

19914440832 is an abundant number, since it is smaller than the sum of its proper divisors (51892914528).

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

19914440832 is a wasteful number, since it uses less digits than its factorization.

19914440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19914440832 in words is "nineteen billion, nine hundred fourteen million, four hundred forty thousand, eight hundred thirty-two".