12819144240 has 400 divisors, whose sum is σ = 51136512768. Its totient is φ = 2927570688.

The previous prime is 12819144199. The next prime is 12819144241. The reversal of 12819144240 is 4244191821.

12819144240 is a `hidden beast` number, since 1 + 28 + 191 + 442 + 4 + 0 = 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 = 12819144195 and 12819144204.

It is not an unprimeable number, because it can be changed into a prime (12819144241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11021899 + ... + 11023061.

Almost surely, 2^12819144240 is an apocalyptic number.

12819144240 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 12819144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25568256384).

12819144240 is an abundant number, since it is smaller than the sum of its proper divisors (38317368528).

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

12819144240 is an frugal number, since it uses more digits than its factorization.

12819144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12819144240 in words is "twelve billion, eight hundred nineteen million, one hundred forty-four thousand, two hundred forty".