19400938560 has 280 divisors, whose sum is σ = 73073773080. Its totient is φ = 4869144576.

The previous prime is 19400938559. The next prime is 19400938561. The reversal of 19400938560 is 6583900491.

It is a happy number.

19400938560 is a `hidden beast` number, since 19 + 40 + 0 + 9 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (19400938559) and next prime (19400938561).

It can be written as a sum of positive squares in 4 ways, for example, as 1059111936 + 18341826624 = 32544^2 + 135432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19400938561) by changing a digit.

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, 418626 + ... + 462654.

It is an arithmetic number, because the mean of its divisors is an integer number (260977761).

Almost surely, 2^19400938560 is an apocalyptic number.

19400938560 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 19400938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36536886540).

19400938560 is an abundant number, since it is smaller than the sum of its proper divisors (53672834520).

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

19400938560 is a wasteful number, since it uses less digits than its factorization.

19400938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44075 (or 44056 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19400938560 in words is "nineteen billion, four hundred million, nine hundred thirty-eight thousand, five hundred sixty".