12310469735040 has 1024 divisors, whose sum is σ = 44784201600000. Its totient is φ = 3235182280704.

The previous prime is 12310469734883. The next prime is 12310469735051. The reversal of 12310469735040 is 4053796401321.

12310469735040 is a `hidden beast` number, since 1 + 2 + 3 + 10 + 4 + 69 + 73 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53757509646 + ... + 53757509874.

It is an arithmetic number, because the mean of its divisors is an integer number (43734571875).

Almost surely, 2^{12310469735040} is an apocalyptic number.

12310469735040 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 12310469735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22392100800000).

12310469735040 is an abundant number, since it is smaller than the sum of its proper divisors (32473731864960).

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

12310469735040 is an equidigital number, since it uses as much as digits as its factorization.

12310469735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12310469735040 in words is "twelve trillion, three hundred ten billion, four hundred sixty-nine million, seven hundred thirty-five thousand, forty".