41807986483200 has 672 divisors, whose sum is σ = 158618245282560. Its totient is φ = 9517793280000.

The previous prime is 41807986483157. The next prime is 41807986483201. The reversal of 41807986483200 is 238468970814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41807986483201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079481436 + ... + 1079520164.

It is an arithmetic number, because the mean of its divisors is an integer number (236039055480).

Almost surely, 2^{41807986483200} is an apocalyptic number.

41807986483200 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 41807986483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79309122641280).

41807986483200 is an abundant number, since it is smaller than the sum of its proper divisors (116810258799360).

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

41807986483200 is a wasteful number, since it uses less digits than its factorization.

41807986483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39026 (or 38997 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 41807986483200 in words is "forty-one trillion, eight hundred seven billion, nine hundred eighty-six million, four hundred eighty-three thousand, two hundred".