50344241210400 has 288 divisors, whose sum is σ = 171105547919040. Its totient is φ = 12841051525120.

The previous prime is 50344241210369. The next prime is 50344241210441. The reversal of 50344241210400 is 401214244305.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4067122 + ... + 10827278.

It is an arithmetic number, because the mean of its divisors is an integer number (594116485830).

Almost surely, 2^{50344241210400} is an apocalyptic number.

50344241210400 is a gapful number since it is divisible by the number (50) 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 50344241210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85552773959520).

50344241210400 is an abundant number, since it is smaller than the sum of its proper divisors (120761306708640).

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

50344241210400 is a wasteful number, since it uses less digits than its factorization.

50344241210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760316 (or 6760303 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 50344241210400 its reverse (401214244305), we get a palindrome (50745455454705).

The spelling of 50344241210400 in words is "fifty trillion, three hundred forty-four billion, two hundred forty-one million, two hundred ten thousand, four hundred".