41876806320 has 480 divisors, whose sum is σ = 151154325504. Its totient is φ = 10370764800.

The previous prime is 41876806319. The next prime is 41876806327. The reversal of 41876806320 is 2360867814.

41876806320 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 6 + 8 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41876806327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61312699 + ... + 61313381.

Almost surely, 2^41876806320 is an apocalyptic number.

41876806320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41876806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75577162752).

41876806320 is an abundant number, since it is smaller than the sum of its proper divisors (109277519184).

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

41876806320 is a wasteful number, since it uses less digits than its factorization.

41876806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41876806320 in words is "forty-one billion, eight hundred seventy-six million, eight hundred six thousand, three hundred twenty".