41407973376000 has 2880 divisors, whose sum is σ = 177087254023680. Its totient is φ = 8408530944000.

The previous prime is 41407973375963. The next prime is 41407973376001. The reversal of 41407973376000 is 67337970414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41407973376001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 379889663946 + ... + 379889664054.

Almost surely, 2^{41407973376000} is an apocalyptic number.

41407973376000 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 41407973376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88543627011840).

41407973376000 is an abundant number, since it is smaller than the sum of its proper divisors (135679280647680).

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

41407973376000 is a wasteful number, since it uses less digits than its factorization.

41407973376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 41407973376000 in words is "forty-one trillion, four hundred seven billion, nine hundred seventy-three million, three hundred seventy-six thousand".