41676122880 has 1296 divisors, whose sum is σ = 183533654304. Its totient is φ = 8670412800.

The previous prime is 41676122857. The next prime is 41676122903. The reversal of 41676122880 is 8822167614.

41676122880 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 612 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41676122857) and next prime (41676122903).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 412634830 + ... + 412634930.

It is an arithmetic number, because the mean of its divisors is an integer number (141615474).

Almost surely, 2^41676122880 is an apocalyptic number.

41676122880 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 41676122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91766827152).

41676122880 is an abundant number, since it is smaller than the sum of its proper divisors (141857531424).

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

41676122880 is a wasteful number, since it uses less digits than its factorization.

41676122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

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

The spelling of 41676122880 in words is "forty-one billion, six hundred seventy-six million, one hundred twenty-two thousand, eight hundred eighty".