19424759040 has 396 divisors, whose sum is σ = 70063723044. Its totient is φ = 5159780352.

The previous prime is 19424759027. The next prime is 19424759071. The reversal of 19424759040 is 4095742491.

19424759040 is a `hidden beast` number, since 1 + 94 + 2 + 475 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14526998784 + 4897760256 = 120528^2 + 69984^2 .

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

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 43 ways as a sum of consecutive naturals, for example, 75582592 + ... + 75582848.

Almost surely, 2^19424759040 is an apocalyptic number.

19424759040 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 19424759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35031861522).

19424759040 is an abundant number, since it is smaller than the sum of its proper divisors (50638964004).

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

19424759040 is an frugal number, since it uses more digits than its factorization.

19424759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19424759040 in words is "nineteen billion, four hundred twenty-four million, seven hundred fifty-nine thousand, forty".