505454611440 has 160 divisors (see below), whose sum is σ = 1630650631680. Its totient is φ = 129360458752.

The previous prime is 505454611439. The next prime is 505454611447. The reversal of 505454611440 is 44116454505.

It is a super-2 number, since 2×505454611440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505454611447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944887 + ... + 1379753.

It is an arithmetic number, because the mean of its divisors is an integer number (10191566448).

Almost surely, 2^505454611440 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 505454611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815325315840).

505454611440 is an abundant number, since it is smaller than the sum of its proper divisors (1125196020240).

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

505454611440 is a wasteful number, since it uses less digits than its factorization.

505454611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435079 (or 435073 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 505454611440 in words is "five hundred five billion, four hundred fifty-four million, six hundred eleven thousand, four hundred forty".