19984242432 has 576 divisors, whose sum is σ = 70452264960. Its totient is φ = 4877107200.

The previous prime is 19984242431. The next prime is 19984242463. The reversal of 19984242432 is 23424248991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19984242431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73742457 + ... + 73742727.

It is an arithmetic number, because the mean of its divisors is an integer number (122312960).

Almost surely, 2^19984242432 is an apocalyptic number.

19984242432 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 19984242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35226132480).

19984242432 is an abundant number, since it is smaller than the sum of its proper divisors (50468022528).

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

19984242432 is a wasteful number, since it uses less digits than its factorization.

19984242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 19984242432 in words is "nineteen billion, nine hundred eighty-four million, two hundred forty-two thousand, four hundred thirty-two".