41901961733632 has 640 divisors, whose sum is σ = 114510920832000. Its totient is φ = 14788893081600.

The previous prime is 41901961733561. The next prime is 41901961733641. The reversal of 41901961733632 is 23633716910914.

It is a super-2 number, since 2×41901961733632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31719879532 + ... + 31719880852.

It is an arithmetic number, because the mean of its divisors is an integer number (178923313800).

Almost surely, 2^{41901961733632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41901961733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57255460416000).

41901961733632 is an abundant number, since it is smaller than the sum of its proper divisors (72608959098368).

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

41901961733632 is a wasteful number, since it uses less digits than its factorization.

41901961733632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 41901961733632 in words is "forty-one trillion, nine hundred one billion, nine hundred sixty-one million, seven hundred thirty-three thousand, six hundred thirty-two".