41968813520 has 40 divisors (see below), whose sum is σ = 97857148200. Its totient is φ = 16739412480.

The previous prime is 41968813493. The next prime is 41968813541. The reversal of 41968813520 is 2531886914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1240730176 + 40728083344 = 35224^2 + 201812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×41968813520² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723671 + ... + 779510.

It is an arithmetic number, because the mean of its divisors is an integer number (2446428705).

Almost surely, 2^41968813520 is an apocalyptic number.

41968813520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41968813520 is an abundant number, since it is smaller than the sum of its proper divisors (55888334680).

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

41968813520 is a wasteful number, since it uses less digits than its factorization.

41968813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503543 (or 1503537 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 41968813520 in words is "forty-one billion, nine hundred sixty-eight million, eight hundred thirteen thousand, five hundred twenty".