4132440313400 has 288 divisors, whose sum is σ = 11770669062000. Its totient is φ = 1341597358080.

The previous prime is 4132440313363. The next prime is 4132440313433. The reversal of 4132440313400 is 43130442314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 490260386 + ... + 490268814.

Almost surely, 2^{4132440313400} is an apocalyptic number.

4132440313400 is a gapful number since it is divisible by the number (40) 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 4132440313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885334531000).

4132440313400 is an abundant number, since it is smaller than the sum of its proper divisors (7638228748600).

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

4132440313400 is a wasteful number, since it uses less digits than its factorization.

4132440313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4132440313400 its reverse (43130442314), we get a palindrome (4175570755714).

The spelling of 4132440313400 in words is "four trillion, one hundred thirty-two billion, four hundred forty million, three hundred thirteen thousand, four hundred".