12497617440 has 384 divisors, whose sum is σ = 54536509440. Its totient is φ = 2596838400.

The previous prime is 12497617427. The next prime is 12497617453. The reversal of 12497617440 is 4471679421.

12497617440 is a `hidden beast` number, since 1 + 24 + 9 + 7 + 617 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12497617427) and next prime (12497617453).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313855 + ... + 351425.

It is an arithmetic number, because the mean of its divisors is an integer number (142022160).

Almost surely, 2^12497617440 is an apocalyptic number.

12497617440 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 12497617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27268254720).

12497617440 is an abundant number, since it is smaller than the sum of its proper divisors (42038892000).

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

12497617440 is a wasteful number, since it uses less digits than its factorization.

12497617440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37613 (or 37599 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12497617440 in words is "twelve billion, four hundred ninety-seven million, six hundred seventeen thousand, four hundred forty".