19934940480 has 448 divisors, whose sum is σ = 79506470400. Its totient is φ = 4205150208.

The previous prime is 19934940461. The next prime is 19934940497. The reversal of 19934940480 is 8404943991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×19934940480² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4278312 + ... + 4282968.

It is an arithmetic number, because the mean of its divisors is an integer number (177469800).

Almost surely, 2^19934940480 is an apocalyptic number.

19934940480 is a gapful number since it is divisible by the number (10) 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 19934940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39753235200).

19934940480 is an abundant number, since it is smaller than the sum of its proper divisors (59571529920).

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

19934940480 is a wasteful number, since it uses less digits than its factorization.

19934940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 19934940480 in words is "nineteen billion, nine hundred thirty-four million, nine hundred forty thousand, four hundred eighty".