41213140102400 has 216 divisors, whose sum is σ = 116593892346624. Its totient is φ = 14128738099200.

The previous prime is 41213140102357. The next prime is 41213140102427. The reversal of 41213140102400 is 420104131214.

41213140102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480795545 + ... + 480881255.

Almost surely, 2^{41213140102400} is an apocalyptic number.

41213140102400 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 41213140102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296946173312).

41213140102400 is an abundant number, since it is smaller than the sum of its proper divisors (75380752244224).

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

41213140102400 is a wasteful number, since it uses less digits than its factorization.

41213140102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96477 (or 96458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 41213140102400 its reverse (420104131214), we get a palindrome (41633244233614).

The spelling of 41213140102400 in words is "forty-one trillion, two hundred thirteen billion, one hundred forty million, one hundred two thousand, four hundred".