41312025216000 has 2816 divisors, whose sum is σ = 192087241482240. Its totient is φ = 8577626112000.

The previous prime is 41312025215941. The next prime is 41312025216031. The reversal of 41312025216000 is 61252021314.

41312025216000 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 2 + 0 + 2 + 52 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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 255 ways as a sum of consecutive naturals, for example, 32199551359 + ... + 32199552641.

Almost surely, 2^{41312025216000} is an apocalyptic number.

41312025216000 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 41312025216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96043620741120).

41312025216000 is an abundant number, since it is smaller than the sum of its proper divisors (150775216266240).

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

41312025216000 is a wasteful number, since it uses less digits than its factorization.

41312025216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41312025216000 its reverse (61252021314), we get a palindrome (41373277237314).

The spelling of 41312025216000 in words is "forty-one trillion, three hundred twelve billion, twenty-five million, two hundred sixteen thousand".