12819119040 has 672 divisors, whose sum is σ = 55637801856. Its totient is φ = 2636513280.

The previous prime is 12819119029. The next prime is 12819119041. The reversal of 12819119040 is 4091191821.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 12819118986 and 12819119004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12819119041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10744684 + ... + 10745876.

It is an arithmetic number, because the mean of its divisors is an integer number (82794348).

Almost surely, 2^12819119040 is an apocalyptic number.

12819119040 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 12819119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27818900928).

12819119040 is an abundant number, since it is smaller than the sum of its proper divisors (42818682816).

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

12819119040 is a wasteful number, since it uses less digits than its factorization.

12819119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 12819119040 in words is "twelve billion, eight hundred nineteen million, one hundred nineteen thousand, forty".