12440201400 has 192 divisors, whose sum is σ = 46745222400. Its totient is φ = 3015792000.

The previous prime is 12440201381. The next prime is 12440201441. The reversal of 12440201400 is 410204421.

12440201400 is a `hidden beast` number, since 1 + 24 + 40 + 201 + 400 = 666.

It is a super-2 number, since 2×12440201400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45316 + ... + 164115.

It is an arithmetic number, because the mean of its divisors is an integer number (243464700).

Almost surely, 2^12440201400 is an apocalyptic number.

12440201400 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 12440201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372611200).

12440201400 is an abundant number, since it is smaller than the sum of its proper divisors (34305021000).

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

12440201400 is a wasteful number, since it uses less digits than its factorization.

12440201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209467 (or 209452 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12440201400 its reverse (410204421), we get a palindrome (12850405821).

The spelling of 12440201400 in words is "twelve billion, four hundred forty million, two hundred one thousand, four hundred".