413610745968 has 180 divisors, whose sum is σ = 1389957935808. Its totient is φ = 114362357760.

The previous prime is 413610745949. The next prime is 413610745969. The reversal of 413610745968 is 869547016314.

413610745968 is a `hidden beast` number, since 4 + 1 + 36 + 10 + 7 + 4 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413610745969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 726721 + ... + 1164192.

Almost surely, 2^413610745968 is an apocalyptic number.

413610745968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413610745968 is an abundant number, since it is smaller than the sum of its proper divisors (976347189840).

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

413610745968 is a wasteful number, since it uses less digits than its factorization.

413610745968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890972 (or 1890956 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 413610745968 in words is "four hundred thirteen billion, six hundred ten million, seven hundred forty-five thousand, nine hundred sixty-eight".