41413047379200 has 864 divisors, whose sum is σ = 173806012369920. Its totient is φ = 9451949875200.

The previous prime is 41413047379199. The next prime is 41413047379201. The reversal of 41413047379200 is 297374031414.

41413047379200 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 30 + 47 + 379 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (41413047379199) and next prime (41413047379201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41413047379201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835808827 + ... + 835858373.

Almost surely, 2^{41413047379200} is an apocalyptic number.

41413047379200 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 41413047379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86903006184960).

41413047379200 is an abundant number, since it is smaller than the sum of its proper divisors (132392964990720).

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

41413047379200 is a wasteful number, since it uses less digits than its factorization.

41413047379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50280 (or 50255 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 41413047379200 in words is "forty-one trillion, four hundred thirteen billion, forty-seven million, three hundred seventy-nine thousand, two hundred".