41781610872 has 72 divisors (see below), whose sum is σ = 120206525400. Its totient is φ = 13107949824.

The previous prime is 41781610861. The next prime is 41781610933. The reversal of 41781610872 is 27801618714.

41781610872 is a `hidden beast` number, since 417 + 8 + 161 + 0 + 8 + 72 = 666.

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

It is a super-3 number, since 3×41781610872³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 983172 + ... + 1024787.

It is an arithmetic number, because the mean of its divisors is an integer number (1669535075).

Almost surely, 2^41781610872 is an apocalyptic number.

It is an amenable number.

41781610872 is an abundant number, since it is smaller than the sum of its proper divisors (78424914528).

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

41781610872 is a wasteful number, since it uses less digits than its factorization.

41781610872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008005 (or 2007981 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

It can be divided in two parts, 41781 and 610872, that added together give a triangular number (652653 = T₁₁₄₂).

The spelling of 41781610872 in words is "forty-one billion, seven hundred eighty-one million, six hundred ten thousand, eight hundred seventy-two".