41907600483840 has 1440 divisors, whose sum is σ = 189068269927680. Its totient is φ = 8376568971264.

The previous prime is 41907600483803. The next prime is 41907600483857. The reversal of 41907600483840 is 4838400670914.

41907600483840 is a `hidden beast` number, since 4 + 1 + 90 + 76 + 0 + 0 + 483 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×41907600483840² (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 143 ways as a sum of consecutive naturals, for example, 517829619 + ... + 517910541.

It is an arithmetic number, because the mean of its divisors is an integer number (131297409672).

Almost surely, 2^{41907600483840} is an apocalyptic number.

41907600483840 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 41907600483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94534134963840).

41907600483840 is an abundant number, since it is smaller than the sum of its proper divisors (147160669443840).

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

41907600483840 is a wasteful number, since it uses less digits than its factorization.

41907600483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81004 (or 80972 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 41907600483840 in words is "forty-one trillion, nine hundred seven billion, six hundred million, four hundred eighty-three thousand, eight hundred forty".