41876610048 has 792 divisors, whose sum is σ = 157080688128. Its totient is φ = 10500931584.

The previous prime is 41876610023. The next prime is 41876610067. The reversal of 41876610048 is 84001667814.

It is a super-2 number, since 2×41876610048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41876609985 and 41876610012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250758061 + ... + 250758227.

Almost surely, 2^41876610048 is an apocalyptic number.

41876610048 is a gapful number since it is divisible by the number (48) 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 41876610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78540344064).

41876610048 is an abundant number, since it is smaller than the sum of its proper divisors (115204078080).

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

41876610048 is a wasteful number, since it uses less digits than its factorization.

41876610048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41876610048 in words is "forty-one billion, eight hundred seventy-six million, six hundred ten thousand, forty-eight".