502667605440 has 4032 divisors, whose sum is σ = 2668918533120. Its totient is φ = 87369891840.

The previous prime is 502667605439. The next prime is 502667605501. The reversal of 502667605440 is 44506766205.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21855113269 + ... + 21855113291.

It is an arithmetic number, because the mean of its divisors is an integer number (661934160).

Almost surely, 2^502667605440 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 502667605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334459266560).

502667605440 is an abundant number, since it is smaller than the sum of its proper divisors (2166250927680).

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

502667605440 is a wasteful number, since it uses less digits than its factorization.

502667605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 502667605440 in words is "five hundred two billion, six hundred sixty-seven million, six hundred five thousand, four hundred forty".