503222545440 has 288 divisors, whose sum is σ = 1744971149376. Its totient is φ = 132042700800.

The previous prime is 503222545433. The next prime is 503222545513. The reversal of 503222545440 is 44545222305.

503222545440 is a `hidden beast` number, since 50 + 3 + 2 + 22 + 545 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×503222545440² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 503222545395 and 503222545404.

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, 23696107 + ... + 23717333.

It is an arithmetic number, because the mean of its divisors is an integer number (6058927602).

Almost surely, 2^503222545440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503222545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872485574688).

503222545440 is an abundant number, since it is smaller than the sum of its proper divisors (1241748603936).

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

503222545440 is a wasteful number, since it uses less digits than its factorization.

503222545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21512 (or 21501 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 503222545440 its reverse (44545222305), we get a palindrome (547767767745).

The spelling of 503222545440 in words is "five hundred three billion, two hundred twenty-two million, five hundred forty-five thousand, four hundred forty".