50350041134400 has 672 divisors, whose sum is σ = 192099556587520. Its totient is φ = 11307174912000.

The previous prime is 50350041134389. The next prime is 50350041134423. The reversal of 50350041134400 is 443114005305.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1883569035 + ... + 1883595765.

Almost surely, 2^{50350041134400} is an apocalyptic number.

50350041134400 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 50350041134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96049778293760).

50350041134400 is an abundant number, since it is smaller than the sum of its proper divisors (141749515453120).

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

50350041134400 is a wasteful number, since it uses less digits than its factorization.

50350041134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27743 (or 27728 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 50350041134400 its reverse (443114005305), we get a palindrome (50793155139705).

The spelling of 50350041134400 in words is "fifty trillion, three hundred fifty billion, forty-one million, one hundred thirty-four thousand, four hundred".