501100561440 has 288 divisors, whose sum is σ = 1858073817600. Its totient is φ = 122509946880.

The previous prime is 501100561391. The next prime is 501100561441. The reversal of 501100561440 is 44165001105.

501100561440 is a `hidden beast` number, since 5 + 0 + 1 + 1 + 0 + 0 + 5 + 614 + 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 2×501100561440² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501100561441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 552756 + ... + 1143564.

It is an arithmetic number, because the mean of its divisors is an integer number (6451645200).

Almost surely, 2^501100561440 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 501100561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929036908800).

501100561440 is an abundant number, since it is smaller than the sum of its proper divisors (1356973256160).

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

501100561440 is a wasteful number, since it uses less digits than its factorization.

501100561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590880 (or 590869 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 501100561440 its reverse (44165001105), we get a palindrome (545265562545).

The spelling of 501100561440 in words is "five hundred one billion, one hundred million, five hundred sixty-one thousand, four hundred forty".