41971562558640 has 720 divisors, whose sum is σ = 168382656361920. Its totient is φ = 9306043084800.

The previous prime is 41971562558609. The next prime is 41971562558677. The reversal of 41971562558640 is 4685526517914.

It is a happy number.

41971562558640 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 1 + 5 + 6 + 2 + 5 + 586 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×41971562558640² (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 143 ways as a sum of consecutive naturals, for example, 123279045 + ... + 123619035.

Almost surely, 2^{41971562558640} is an apocalyptic number.

41971562558640 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 41971562558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84191328180960).

41971562558640 is an abundant number, since it is smaller than the sum of its proper divisors (126411093803280).

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

41971562558640 is a wasteful number, since it uses less digits than its factorization.

41971562558640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340154 (or 340134 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 41971562558640 in words is "forty-one trillion, nine hundred seventy-one billion, five hundred sixty-two million, five hundred fifty-eight thousand, six hundred forty".