41146634880000 has 880 divisors, whose sum is σ = 163985899714560. Its totient is φ = 10128347136000.

The previous prime is 41146634879989. The next prime is 41146634880041. The reversal of 41146634880000 is 8843664114.

41146634880000 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 6 + 634 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×41146634880000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224548417 + ... + 224731583.

It is an arithmetic number, because the mean of its divisors is an integer number (186347613312).

Almost surely, 2^{41146634880000} is an apocalyptic number.

41146634880000 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 41146634880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81992949857280).

41146634880000 is an abundant number, since it is smaller than the sum of its proper divisors (122839264834560).

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

41146634880000 is a wasteful number, since it uses less digits than its factorization.

41146634880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183229 (or 183190 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 41146634880000 in words is "forty-one trillion, one hundred forty-six billion, six hundred thirty-four million, eight hundred eighty thousand".