413142600618 has 144 divisors (see below), whose sum is σ = 1027504033920. Its totient is φ = 119657229120.

The previous prime is 413142600599. The next prime is 413142600649. The reversal of 413142600618 is 816006241314.

413142600618 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 42 + 600 + 6 + 1 + 8 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 86810523 + ... + 86815281.

It is an arithmetic number, because the mean of its divisors is an integer number (7135444680).

Almost surely, 2^413142600618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413142600618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513752016960).

413142600618 is an abundant number, since it is smaller than the sum of its proper divisors (614361433302).

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

413142600618 is a wasteful number, since it uses less digits than its factorization.

413142600618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 413142600618 in words is "four hundred thirteen billion, one hundred forty-two million, six hundred thousand, six hundred eighteen".