19402419456 has 216 divisors, whose sum is σ = 66745103040. Its totient is φ = 5543451648.

The previous prime is 19402419437. The next prime is 19402419493. The reversal of 19402419456 is 65491420491.

19402419456 is a `hidden beast` number, since 1 + 9 + 402 + 4 + 194 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 310045 + ... + 367331.

Almost surely, 2^19402419456 is an apocalyptic number.

19402419456 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 19402419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33372551520).

19402419456 is an abundant number, since it is smaller than the sum of its proper divisors (47342683584).

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

19402419456 is an equidigital number, since it uses as much as digits as its factorization.

19402419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57326 (or 57299 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19402419456 in words is "nineteen billion, four hundred two million, four hundred nineteen thousand, four hundred fifty-six".