19842041232 has 450 divisors, whose sum is σ = 66758354982. Its totient is φ = 5667397632.

The previous prime is 19842041213. The next prime is 19842041269. The reversal of 19842041232 is 23214024891.

19842041232 is a `hidden beast` number, since 198 + 4 + 20 + 412 + 32 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5737153536 + 14104887696 = 75744^2 + 118764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 271808748 + ... + 271808820.

Almost surely, 2^19842041232 is an apocalyptic number.

19842041232 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 19842041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33379177491).

19842041232 is an abundant number, since it is smaller than the sum of its proper divisors (46916313750).

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

19842041232 is a wasteful number, since it uses less digits than its factorization.

19842041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 19842041232 in words is "nineteen billion, eight hundred forty-two million, forty-one thousand, two hundred thirty-two".