50413423210400 has 288 divisors, whose sum is σ = 128931327866880. Its totient is φ = 19225709568000.

The previous prime is 50413423210361. The next prime is 50413423210457. The reversal of 50413423210400 is 401232431405.

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, 903163292 + ... + 903219108.

It is an arithmetic number, because the mean of its divisors is an integer number (447678221760).

Almost surely, 2^{50413423210400} is an apocalyptic number.

50413423210400 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 50413423210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465663933440).

50413423210400 is an abundant number, since it is smaller than the sum of its proper divisors (78517904656480).

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

50413423210400 is a wasteful number, since it uses less digits than its factorization.

50413423210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56408 (or 56395 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 50413423210400 its reverse (401232431405), we get a palindrome (50814655641805).

The spelling of 50413423210400 in words is "fifty trillion, four hundred thirteen billion, four hundred twenty-three million, two hundred ten thousand, four hundred".