19942076448 has 288 divisors, whose sum is σ = 68211763200. Its totient is φ = 5651347968.

The previous prime is 19942076393. The next prime is 19942076471. The reversal of 19942076448 is 84467024991.

19942076448 is a `hidden beast` number, since 1 + 99 + 42 + 0 + 76 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19942076394 and 19942076403.

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 47 ways as a sum of consecutive naturals, for example, 5374818 + ... + 5378526.

It is an arithmetic number, because the mean of its divisors is an integer number (236846400).

Almost surely, 2^19942076448 is an apocalyptic number.

19942076448 is a gapful number since it is divisible by the number (18) 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 19942076448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34105881600).

19942076448 is an abundant number, since it is smaller than the sum of its proper divisors (48269686752).

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

19942076448 is a wasteful number, since it uses less digits than its factorization.

19942076448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 19942076448 in words is "nineteen billion, nine hundred forty-two million, seventy-six thousand, four hundred forty-eight".