19842240816 has 360 divisors, whose sum is σ = 61977324864. Its totient is φ = 6143195520.

The previous prime is 19842240811. The next prime is 19842240833. The reversal of 19842240816 is 61804224891.

19842240816 is a `hidden beast` number, since 198 + 42 + 2 + 408 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (19842240811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94038951 + ... + 94039161.

Almost surely, 2^19842240816 is an apocalyptic number.

19842240816 is a gapful number since it is divisible by the number (16) 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 19842240816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30988662432).

19842240816 is an abundant number, since it is smaller than the sum of its proper divisors (42135084048).

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

19842240816 is a wasteful number, since it uses less digits than its factorization.

19842240816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19842240816 in words is "nineteen billion, eight hundred forty-two million, two hundred forty thousand, eight hundred sixteen".