19198420416 has 280 divisors, whose sum is σ = 68868255456. Its totient is φ = 5162434560.

The previous prime is 19198420411. The next prime is 19198420513. The reversal of 19198420416 is 61402489191.

It is a happy number.

19198420416 is a `hidden beast` number, since 1 + 9 + 198 + 42 + 0 + 416 = 666.

It is a super-2 number, since 2×19198420416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19198420411) 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 39 ways as a sum of consecutive naturals, for example, 601336 + ... + 632456.

Almost surely, 2^19198420416 is an apocalyptic number.

19198420416 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 19198420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34434127728).

19198420416 is an abundant number, since it is smaller than the sum of its proper divisors (49669835040).

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

19198420416 is a wasteful number, since it uses less digits than its factorization.

19198420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31169 (or 31150 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19198420416 in words is "nineteen billion, one hundred ninety-eight million, four hundred twenty thousand, four hundred sixteen".