41261513760 has 72 divisors (see below), whose sum is σ = 140804920620. Its totient is φ = 11003069952.

The previous prime is 41261513729. The next prime is 41261513771. The reversal of 41261513760 is 6731516214.

41261513760 is a `hidden beast` number, since 4 + 1 + 2 + 615 + 1 + 37 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37917436176 + 3344077584 = 194724^2 + 57828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14325475 + ... + 14328354.

Almost surely, 2^41261513760 is an apocalyptic number.

41261513760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41261513760 is an abundant number, since it is smaller than the sum of its proper divisors (99543406860).

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

41261513760 is a wasteful number, since it uses less digits than its factorization.

41261513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653850 (or 28653839 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 41261513760 in words is "forty-one billion, two hundred sixty-one million, five hundred thirteen thousand, seven hundred sixty".