19440840240 has 320 divisors, whose sum is σ = 68445619200. Its totient is φ = 5070698496.

The previous prime is 19440840233. The next prime is 19440840241. The reversal of 19440840240 is 4204804491.

19440840240 is a `hidden beast` number, since 1 + 9 + 4 + 408 + 4 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19440840195 and 19440840204.

It is not an unprimeable number, because it can be changed into a prime (19440840241) 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, 21917077 + ... + 21917963.

It is an arithmetic number, because the mean of its divisors is an integer number (213892560).

Almost surely, 2^19440840240 is an apocalyptic number.

19440840240 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 19440840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34222809600).

19440840240 is an abundant number, since it is smaller than the sum of its proper divisors (49004778960).

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

19440840240 is a wasteful number, since it uses less digits than its factorization.

19440840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 19440840240 in words is "nineteen billion, four hundred forty million, eight hundred forty thousand, two hundred forty".