501334134400 has 384 divisors, whose sum is σ = 1469238730560. Its totient is φ = 166934937600.

The previous prime is 501334134391. The next prime is 501334134419. The reversal of 501334134400 is 4431433105.

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, 22129479 + ... + 22152121.

Almost surely, 2^501334134400 is an apocalyptic number.

501334134400 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 501334134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734619365280).

501334134400 is an abundant number, since it is smaller than the sum of its proper divisors (967904596160).

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

501334134400 is a wasteful number, since it uses less digits than its factorization.

501334134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732 (or 22715 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 501334134400 its reverse (4431433105), we get a palindrome (505765567505).

The spelling of 501334134400 in words is "five hundred one billion, three hundred thirty-four million, one hundred thirty-four thousand, four hundred".