12417350400 has 1296 divisors, whose sum is σ = 57568982016. Its totient is φ = 2481684480.

The previous prime is 12417350371. The next prime is 12417350411. The reversal of 12417350400 is 405371421.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 120556749 + ... + 120556851.

Almost surely, 2^12417350400 is an apocalyptic number.

12417350400 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 12417350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28784491008).

12417350400 is an abundant number, since it is smaller than the sum of its proper divisors (45151631616).

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

12417350400 is a wasteful number, since it uses less digits than its factorization.

12417350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12417350400 in words is "twelve billion, four hundred seventeen million, three hundred fifty thousand, four hundred".