41432013201312 has 384 divisors, whose sum is σ = 133371422311680. Its totient is φ = 12458202071040.

The previous prime is 41432013201259. The next prime is 41432013201377. The reversal of 41432013201312 is 21310231023414.

41432013201312 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 20 + 1 + 320 + 1 + 312 = 666.

It is a super-2 number, since 2×41432013201312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35842612 + ... + 36980492.

It is an arithmetic number, because the mean of its divisors is an integer number (347321412270).

Almost surely, 2^{41432013201312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41432013201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685711155840).

41432013201312 is an abundant number, since it is smaller than the sum of its proper divisors (91939409110368).

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

41432013201312 is a wasteful number, since it uses less digits than its factorization.

41432013201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138021 (or 1138007 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41432013201312 its reverse (21310231023414), we get a palindrome (62742244224726).

The spelling of 41432013201312 in words is "forty-one trillion, four hundred thirty-two billion, thirteen million, two hundred one thousand, three hundred twelve".