41220351424512 has 576 divisors, whose sum is σ = 129657278499840. Its totient is φ = 12540686893056.

The previous prime is 41220351424463. The next prime is 41220351424559. The reversal of 41220351424512 is 21542415302214.

41220351424512 is a `hidden beast` number, since 4 + 1 + 220 + 3 + 5 + 1 + 424 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9646698408 + ... + 9646702680.

It is an arithmetic number, because the mean of its divisors is an integer number (225099441840).

Almost surely, 2^{41220351424512} 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 41220351424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64828639249920).

41220351424512 is an abundant number, since it is smaller than the sum of its proper divisors (88436927075328).

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

41220351424512 is a wasteful number, since it uses less digits than its factorization.

41220351424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 41220351424512 its reverse (21542415302214), we get a palindrome (62762766726726).

The spelling of 41220351424512 in words is "forty-one trillion, two hundred twenty billion, three hundred fifty-one million, four hundred twenty-four thousand, five hundred twelve".