41431014213120 has 480 divisors, whose sum is σ = 164006417203200. Its totient is φ = 9468734423040.

The previous prime is 41431014213119. The next prime is 41431014213179. The reversal of 41431014213120 is 2131241013414.

It is a happy number.

41431014213120 is a `hidden beast` number, since 4 + 1 + 4 + 310 + 14 + 21 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2064212685 + ... + 2064232755.

It is an arithmetic number, because the mean of its divisors is an integer number (341680035840).

Almost surely, 2^{41431014213120} is an apocalyptic number.

41431014213120 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 41431014213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82003208601600).

41431014213120 is an abundant number, since it is smaller than the sum of its proper divisors (122575402990080).

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

41431014213120 is a wasteful number, since it uses less digits than its factorization.

41431014213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32906 (or 32887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 41431014213120 its reverse (2131241013414), we get a palindrome (43562255226534).

The spelling of 41431014213120 in words is "forty-one trillion, four hundred thirty-one billion, fourteen million, two hundred thirteen thousand, one hundred twenty".