41213040302400 has 168 divisors, whose sum is σ = 135258219687744. Its totient is φ = 10986478080000.

The previous prime is 41213040302393. The next prime is 41213040302407. The reversal of 41213040302400 is 420304031214.

It is an interprime number because it is at equal distance from previous prime (41213040302393) and next prime (41213040302407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213040302407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12974269 + ... + 15835331.

Almost surely, 2^{41213040302400} is an apocalyptic number.

41213040302400 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 41213040302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67629109843872).

41213040302400 is an abundant number, since it is smaller than the sum of its proper divisors (94045179385344).

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

41213040302400 is a wasteful number, since it uses less digits than its factorization.

41213040302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864089 (or 2864074 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41213040302400 its reverse (420304031214), we get a palindrome (41633344333614).

The spelling of 41213040302400 in words is "forty-one trillion, two hundred thirteen billion, forty million, three hundred two thousand, four hundred".