505020344134400 has 108 divisors (see below), whose sum is σ = 1250273095176504. Its totient is φ = 201964692480000.

The previous prime is 505020344134391. The next prime is 505020344134417. The reversal of 505020344134400 is 4431443020505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21283340 + ... + 38249460.

Almost surely, 2^{505020344134400} is an apocalyptic number.

505020344134400 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 505020344134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625136547588252).

505020344134400 is an abundant number, since it is smaller than the sum of its proper divisors (745252751042104).

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

505020344134400 is a wasteful number, since it uses less digits than its factorization.

505020344134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16970798 (or 16970779 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 505020344134400 its reverse (4431443020505), we get a palindrome (509451787154905).

The spelling of 505020344134400 in words is "five hundred five trillion, twenty billion, three hundred forty-four million, one hundred thirty-four thousand, four hundred".