12452811719040 has 3072 divisors, whose sum is σ = 58916091985920. Its totient is φ = 2346894950400.

The previous prime is 12452811719003. The next prime is 12452811719077. The reversal of 12452811719040 is 4091711825421.

It is a happy number.

12452811719040 is a `hidden beast` number, since 1 + 2 + 4 + 528 + 11 + 71 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12452811719003) and next prime (12452811719077).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16760176909 + ... + 16760177651.

It is an arithmetic number, because the mean of its divisors is an integer number (19178415360).

Almost surely, 2^{12452811719040} is an apocalyptic number.

12452811719040 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 12452811719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458045992960).

12452811719040 is an abundant number, since it is smaller than the sum of its proper divisors (46463280266880).

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

12452811719040 is a wasteful number, since it uses less digits than its factorization.

12452811719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12452811719040 in words is "twelve trillion, four hundred fifty-two billion, eight hundred eleven million, seven hundred nineteen thousand, forty".