501222000400 has 240 divisors, whose sum is σ = 1337173040448. Its totient is φ = 179020800000.

The previous prime is 501222000371. The next prime is 501222000431. The reversal of 501222000400 is 4000222105.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80618092 + ... + 80624308.

Almost surely, 2^501222000400 is an apocalyptic number.

501222000400 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 501222000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668586520224).

501222000400 is an abundant number, since it is smaller than the sum of its proper divisors (835951040048).

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

501222000400 is a wasteful number, since it uses less digits than its factorization.

501222000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 501222000400 its reverse (4000222105), we get a palindrome (505222222505).

The spelling of 501222000400 in words is "five hundred one billion, two hundred twenty-two million, four hundred", and thus it is an aban number.