50444330415120 has 240 divisors, whose sum is σ = 173567081089584. Its totient is φ = 13121740800000.

The previous prime is 50444330414921. The next prime is 50444330415121. The reversal of 50444330415120 is 2151403344405.

50444330415120 is a `hidden beast` number, since 50 + 4 + 4 + 43 + 30 + 415 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7837692969744 + 42606637445376 = 2799588^2 + 6527376^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×50444330415120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50444330415121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200049120 + ... + 200301120.

Almost surely, 2^{50444330415120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50444330415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86783540544792).

50444330415120 is an abundant number, since it is smaller than the sum of its proper divisors (123122750674464).

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

50444330415120 is a wasteful number, since it uses less digits than its factorization.

50444330415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258842 (or 258833 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 50444330415120 its reverse (2151403344405), we get a palindrome (52595733759525).

The spelling of 50444330415120 in words is "fifty trillion, four hundred forty-four billion, three hundred thirty million, four hundred fifteen thousand, one hundred twenty".