41145421310400 has 336 divisors, whose sum is σ = 148201215408000. Its totient is φ = 9911112806400.

The previous prime is 41145421310311. The next prime is 41145421310401. The reversal of 41145421310400 is 401312454114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145421310401) 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, 5807851 + ... + 10771349.

Almost surely, 2^{41145421310400} is an apocalyptic number.

41145421310400 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 41145421310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74100607704000).

41145421310400 is an abundant number, since it is smaller than the sum of its proper divisors (107055794097600).

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

41145421310400 is a wasteful number, since it uses less digits than its factorization.

41145421310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963692 (or 4963677 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 41145421310400 its reverse (401312454114), we get a palindrome (41546733764514).

The spelling of 41145421310400 in words is "forty-one trillion, one hundred forty-five billion, four hundred twenty-one million, three hundred ten thousand, four hundred".