41475641222400 has 5184 divisors, whose sum is σ = 191578671513600. Its totient is φ = 7868399616000.

The previous prime is 41475641222399. The next prime is 41475641222417. The reversal of 41475641222400 is 422214657414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 568159468764 + ... + 568159468836.

Almost surely, 2^{41475641222400} is an apocalyptic number.

41475641222400 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 41475641222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95789335756800).

41475641222400 is an abundant number, since it is smaller than the sum of its proper divisors (150103030291200).

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

41475641222400 is a wasteful number, since it uses less digits than its factorization.

41475641222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

Adding to 41475641222400 its reverse (422214657414), we get a palindrome (41897855879814).

The spelling of 41475641222400 in words is "forty-one trillion, four hundred seventy-five billion, six hundred forty-one million, two hundred twenty-two thousand, four hundred".