50430954240 has 288 divisors, whose sum is σ = 189489101760. Its totient is φ = 12657033216.

The previous prime is 50430954221. The next prime is 50430954247. The reversal of 50430954240 is 4245903405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×50430954240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 50430954195 and 50430954204.

It is not an unprimeable number, because it can be changed into a prime (50430954247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544602 + ... + 630438.

It is an arithmetic number, because the mean of its divisors is an integer number (657948270).

Almost surely, 2^50430954240 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 50430954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94744550880).

50430954240 is an abundant number, since it is smaller than the sum of its proper divisors (139058147520).

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

50430954240 is a wasteful number, since it uses less digits than its factorization.

50430954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85884 (or 85864 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 50430954240 in words is "fifty billion, four hundred thirty million, nine hundred fifty-four thousand, two hundred forty".