41620421431200 has 288 divisors, whose sum is σ = 139453631021376. Its totient is φ = 10777103400960.

The previous prime is 41620421431177. The next prime is 41620421431217. The reversal of 41620421431200 is 213412402614.

41620421431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41620421431200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10651779 + ... + 14025021.

It is an arithmetic number, because the mean of its divisors is an integer number (484213996602).

Almost surely, 2^{41620421431200} is an apocalyptic number.

41620421431200 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 41620421431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69726815510688).

41620421431200 is an abundant number, since it is smaller than the sum of its proper divisors (97833209590176).

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

41620421431200 is a wasteful number, since it uses less digits than its factorization.

41620421431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373416 (or 3373403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 41620421431200 its reverse (213412402614), we get a palindrome (41833833833814).

The spelling of 41620421431200 in words is "forty-one trillion, six hundred twenty billion, four hundred twenty-one million, four hundred thirty-one thousand, two hundred".