19400872464 has 200 divisors, whose sum is σ = 59627846520. Its totient is φ = 6068846592.

The previous prime is 19400872417. The next prime is 19400872501. The reversal of 19400872464 is 46427800491.

It can be written as a sum of positive squares in 4 ways, for example, as 4943214864 + 14457657600 = 70308^2 + 120240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9010012 + ... + 9012164.

Almost surely, 2^19400872464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19400872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813923260).

19400872464 is an abundant number, since it is smaller than the sum of its proper divisors (40226974056).

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

19400872464 is a wasteful number, since it uses less digits than its factorization.

19400872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 19400872464 in words is "nineteen billion, four hundred million, eight hundred seventy-two thousand, four hundred sixty-four".