41106275280 has 1200 divisors, whose sum is σ = 180217965312. Its totient is φ = 8485171200.

The previous prime is 41106275263. The next prime is 41106275297. The reversal of 41106275280 is 8257260114.

41106275280 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 627 + 5 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41106275263) and next prime (41106275297).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1002592060 + ... + 1002592100.

Almost surely, 2^41106275280 is an apocalyptic number.

41106275280 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 41106275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90108982656).

41106275280 is an abundant number, since it is smaller than the sum of its proper divisors (139111690032).

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

41106275280 is a wasteful number, since it uses less digits than its factorization.

41106275280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 41106275280 in words is "forty-one billion, one hundred six million, two hundred seventy-five thousand, two hundred eighty".