41501885661000 has 192 divisors, whose sum is σ = 141003200023920. Its totient is φ = 11009826201600.

The previous prime is 41501885660969. The next prime is 41501885661133. The reversal of 41501885661000 is 16658810514.

41501885661000 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 1 + 88 + 566 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5514052632804 + 35987833028196 = 2348202^2 + 5998986^2 .

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 47 ways as a sum of consecutive naturals, for example, 10209427 + ... + 13683426.

Almost surely, 2^{41501885661000} is an apocalyptic number.

41501885661000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41501885661000 is an abundant number, since it is smaller than the sum of its proper divisors (99501314362920).

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

41501885661000 is a wasteful number, since it uses less digits than its factorization.

41501885661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23893073 (or 23893056 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 41501885661000 in words is "forty-one trillion, five hundred one billion, eight hundred eighty-five million, six hundred sixty-one thousand".