1401241244400 has 360 divisors, whose sum is σ = 5115658626000. Its totient is φ = 354662891520.

The previous prime is 1401241244383. The next prime is 1401241244413. The reversal of 1401241244400 is 44421421041.

It is a happy number.

1401241244400 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 4 + 1 + 244 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 6045856 + ... + 6273344.

It is an arithmetic number, because the mean of its divisors is an integer number (14210162850).

Almost surely, 2^{1401241244400} is an apocalyptic number.

1401241244400 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 1401241244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557829313000).

1401241244400 is an abundant number, since it is smaller than the sum of its proper divisors (3714417381600).

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

1401241244400 is a wasteful number, since it uses less digits than its factorization.

1401241244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227601 (or 227587 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1401241244400 its reverse (44421421041), we get a palindrome (1445662665441).

The spelling of 1401241244400 in words is "one trillion, four hundred one billion, two hundred forty-one million, two hundred forty-four thousand, four hundred".