41214431400120 has 384 divisors, whose sum is σ = 149834574489600. Its totient is φ = 9738626688000.

The previous prime is 41214431400119. The next prime is 41214431400139. The reversal of 41214431400120 is 2100413441214.

41214431400120 is a `hidden beast` number, since 4 + 1 + 214 + 4 + 31 + 400 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81311470 + ... + 81816770.

It is an arithmetic number, because the mean of its divisors is an integer number (390194204400).

Almost surely, 2^{41214431400120} is an apocalyptic number.

41214431400120 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 41214431400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74917287244800).

41214431400120 is an abundant number, since it is smaller than the sum of its proper divisors (108620143089480).

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

41214431400120 is a wasteful number, since it uses less digits than its factorization.

41214431400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505851 (or 505844 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41214431400120 its reverse (2100413441214), we get a palindrome (43314844841334).

The spelling of 41214431400120 in words is "forty-one trillion, two hundred fourteen billion, four hundred thirty-one million, four hundred thousand, one hundred twenty".