504151554014340 has 192 divisors, whose sum is σ = 1425117710016000. Its totient is φ = 133160765644800.

The previous prime is 504151554014327. The next prime is 504151554014341. The reversal of 504151554014340 is 43410455151405.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 504151554014292 and 504151554014301.

It is not an unprimeable number, because it can be changed into a prime (504151554014341) 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 63 ways as a sum of consecutive naturals, for example, 10886663106 + ... + 10886709414.

It is an arithmetic number, because the mean of its divisors is an integer number (7422488073000).

Almost surely, 2^{504151554014340} 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 504151554014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712558855008000).

504151554014340 is an abundant number, since it is smaller than the sum of its proper divisors (920966156001660).

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

504151554014340 is a wasteful number, since it uses less digits than its factorization.

504151554014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49950 (or 49948 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 504151554014340 in words is "five hundred four trillion, one hundred fifty-one billion, five hundred fifty-four million, fourteen thousand, three hundred forty".