41652909056000 has 448 divisors, whose sum is σ = 113541456188160. Its totient is φ = 15128985600000.

The previous prime is 41652909055987. The next prime is 41652909056021. The reversal of 41652909056000 is 65090925614.

It is a super-2 number, since 2×41652909056000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13528062461 + ... + 13528065539.

It is an arithmetic number, because the mean of its divisors is an integer number (253440750420).

Almost surely, 2^{41652909056000} is an apocalyptic number.

41652909056000 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 41652909056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770728094080).

41652909056000 is an abundant number, since it is smaller than the sum of its proper divisors (71888547132160).

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

41652909056000 is a wasteful number, since it uses less digits than its factorization.

41652909056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 41652909056000 in words is "forty-one trillion, six hundred fifty-two billion, nine hundred nine million, fifty-six thousand".