509119944241104 has 300 divisors, whose sum is σ = 1714171425155904. Its totient is φ = 145458385607808.

The previous prime is 509119944241079. The next prime is 509119944241121. The reversal of 509119944241104 is 401142449911905.

509119944241104 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 1 + 99 + 442 + 4 + 1 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2461756167 + ... + 2461962969.

Almost surely, 2^{509119944241104} is an apocalyptic number.

509119944241104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509119944241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857085712577952).

509119944241104 is an abundant number, since it is smaller than the sum of its proper divisors (1205051480914800).

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

509119944241104 is a wasteful number, since it uses less digits than its factorization.

509119944241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245604 (or 245582 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 509119944241104 in words is "five hundred nine trillion, one hundred nineteen billion, nine hundred forty-four million, two hundred forty-one thousand, one hundred four".