12452760346400 has 144 divisors (see below), whose sum is σ = 33180503374368. Its totient is φ = 4526018304000.

The previous prime is 12452760346357. The next prime is 12452760346427. The reversal of 12452760346400 is 464306725421.

12452760346400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17344964 + ... + 18048636.

It is an arithmetic number, because the mean of its divisors is an integer number (230420162322).

Almost surely, 2^{12452760346400} is an apocalyptic number.

12452760346400 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 12452760346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590251687184).

12452760346400 is an abundant number, since it is smaller than the sum of its proper divisors (20727743027968).

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

12452760346400 is a wasteful number, since it uses less digits than its factorization.

12452760346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705715 (or 705702 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 12452760346400 in words is "twelve trillion, four hundred fifty-two billion, seven hundred sixty million, three hundred forty-six thousand, four hundred".