41521567127040 has 7200 divisors, whose sum is σ = 220573926552672. Its totient is φ = 7312873881600.

The previous prime is 41521567127017. The next prime is 41521567127041. The reversal of 41521567127040 is 4072176512514.

41521567127040 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 1 + 567 + 12 + 70 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41521567127041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1012721149420 + ... + 1012721149460.

Almost surely, 2^{41521567127040} is an apocalyptic number.

41521567127040 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 41521567127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110286963276336).

41521567127040 is an abundant number, since it is smaller than the sum of its proper divisors (179052359425632).

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

41521567127040 is a wasteful number, since it uses less digits than its factorization.

41521567127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 41521567127040 in words is "forty-one trillion, five hundred twenty-one billion, five hundred sixty-seven million, one hundred twenty-seven thousand, forty".