12485845440 has 504 divisors, whose sum is σ = 47092727760. Its totient is φ = 3144241152.

The previous prime is 12485845429. The next prime is 12485845487. The reversal of 12485845440 is 4454858421.

12485845440 is a `hidden beast` number, since 1 + 2 + 485 + 84 + 54 + 40 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39890724 + ... + 39891036.

Almost surely, 2^12485845440 is an apocalyptic number.

12485845440 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 12485845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546363880).

12485845440 is an abundant number, since it is smaller than the sum of its proper divisors (34606882320).

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

12485845440 is an frugal number, since it uses more digits than its factorization.

12485845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 12485845440 in words is "twelve billion, four hundred eighty-five million, eight hundred forty-five thousand, four hundred forty".