41638694902080 has 448 divisors, whose sum is σ = 142114789785600. Its totient is φ = 10291182206976.

The previous prime is 41638694901983. The next prime is 41638694902159. The reversal of 41638694902080 is 8020949683614.

41638694902080 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6716998821 + ... + 6717005019.

Almost surely, 2^{41638694902080} is an apocalyptic number.

41638694902080 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 41638694902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71057394892800).

41638694902080 is an abundant number, since it is smaller than the sum of its proper divisors (100476094883520).

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

41638694902080 is a wasteful number, since it uses less digits than its factorization.

41638694902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 41638694902080 in words is "forty-one trillion, six hundred thirty-eight billion, six hundred ninety-four million, nine hundred two thousand, eighty".