19295409840 has 320 divisors, whose sum is σ = 71091164160. Its totient is φ = 4235857920.

The previous prime is 19295409839. The next prime is 19295409841. The reversal of 19295409840 is 4890459291.

It is an interprime number because it is at equal distance from previous prime (19295409839) and next prime (19295409841).

It is not an unprimeable number, because it can be changed into a prime (19295409841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10278982 + ... + 10280858.

It is an arithmetic number, because the mean of its divisors is an integer number (222159888).

Almost surely, 2^19295409840 is an apocalyptic number.

19295409840 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 19295409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35545582080).

19295409840 is an abundant number, since it is smaller than the sum of its proper divisors (51795754320).

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

19295409840 is a wasteful number, since it uses less digits than its factorization.

19295409840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 19295409840 in words is "nineteen billion, two hundred ninety-five million, four hundred nine thousand, eight hundred forty".