501111230400 has 3360 divisors, whose sum is σ = 2370756833280. Its totient is φ = 102187008000.

The previous prime is 501111230327. The next prime is 501111230443. The reversal of 501111230400 is 4032111105.

501111230400 is a `hidden beast` number, since 501 + 1 + 1 + 123 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×501111230400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 479 ways as a sum of consecutive naturals, for example, 16164878385 + ... + 16164878415.

Almost surely, 2^501111230400 is an apocalyptic number.

501111230400 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 501111230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185378416640).

501111230400 is an abundant number, since it is smaller than the sum of its proper divisors (1869645602880).

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

501111230400 is a wasteful number, since it uses less digits than its factorization.

501111230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 501111230400 its reverse (4032111105), we get a palindrome (505143341505).

The spelling of 501111230400 in words is "five hundred one billion, one hundred eleven million, two hundred thirty thousand, four hundred".