12838619397240 has 2304 divisors, whose sum is σ = 57732634552320. Its totient is φ = 2534562938880.

The previous prime is 12838619397221. The next prime is 12838619397299. The reversal of 12838619397240 is 4279391683821.

12838619397240 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 619 + 3 + 9 + 7 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29787979825 + ... + 29787980255.

It is an arithmetic number, because the mean of its divisors is an integer number (25057567080).

Almost surely, 2^{12838619397240} is an apocalyptic number.

12838619397240 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 12838619397240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28866317276160).

12838619397240 is an abundant number, since it is smaller than the sum of its proper divisors (44894015155080).

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

12838619397240 is a wasteful number, since it uses less digits than its factorization.

12838619397240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12838619397240 in words is "twelve trillion, eight hundred thirty-eight billion, six hundred nineteen million, three hundred ninety-seven thousand, two hundred forty".