41400133345200 has 240 divisors, whose sum is σ = 151750826936576. Its totient is φ = 9451217894400.

The previous prime is 41400133345189. The next prime is 41400133345247. The reversal of 41400133345200 is 254333100414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3773814 + ... + 9850986.

Almost surely, 2^{41400133345200} is an apocalyptic number.

41400133345200 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 41400133345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75875413468288).

41400133345200 is an abundant number, since it is smaller than the sum of its proper divisors (110350693591376).

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

41400133345200 is a wasteful number, since it uses less digits than its factorization.

41400133345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078012 (or 6078001 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 41400133345200 its reverse (254333100414), we get a palindrome (41654466445614).

The spelling of 41400133345200 in words is "forty-one trillion, four hundred billion, one hundred thirty-three million, three hundred forty-five thousand, two hundred".