12338057363040 has 480 divisors, whose sum is σ = 45915595165440. Its totient is φ = 3111488640000.

The previous prime is 12338057363039. The next prime is 12338057363041. The reversal of 12338057363040 is 4036375083321.

12338057363040 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 8 + 0 + 5 + 7 + 3 + 630 + 4 + 0 = 666.

12338057363040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12338057363039) and next prime (12338057363041).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338057363041) 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, 140559165 + ... + 140646915.

It is an arithmetic number, because the mean of its divisors is an integer number (95657489928).

Almost surely, 2^{12338057363040} is an apocalyptic number.

12338057363040 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 12338057363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22957797582720).

12338057363040 is an abundant number, since it is smaller than the sum of its proper divisors (33577537802400).

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

12338057363040 is a wasteful number, since it uses less digits than its factorization.

12338057363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88368 (or 88351 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 12338057363040 in words is "twelve trillion, three hundred thirty-eight billion, fifty-seven million, three hundred sixty-three thousand, forty".