50415144000 has 448 divisors, whose sum is σ = 180178252800. Its totient is φ = 12347596800.

The previous prime is 50415143981. The next prime is 50415144007. The reversal of 50415144000 is 44151405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (50415144007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 108887769 + ... + 108888231.

It is an arithmetic number, because the mean of its divisors is an integer number (402183600).

Almost surely, 2^50415144000 is an apocalyptic number.

50415144000 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 50415144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90089126400).

50415144000 is an abundant number, since it is smaller than the sum of its proper divisors (129763108800).

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

50415144000 is a wasteful number, since it uses less digits than its factorization.

50415144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 50415144000 its reverse (44151405), we get a palindrome (50459295405).

The spelling of 50415144000 in words is "fifty billion, four hundred fifteen million, one hundred forty-four thousand".