41167212800 has 324 divisors, whose sum is σ = 119231024976. Its totient is φ = 14031360000.

The previous prime is 41167212799. The next prime is 41167212803. The reversal of 41167212800 is 821276114.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (41167212803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78713339 + ... + 78713861.

Almost surely, 2^41167212800 is an apocalyptic number.

41167212800 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 41167212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59615512488).

41167212800 is an abundant number, since it is smaller than the sum of its proper divisors (78063812176).

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

41167212800 is a wasteful number, since it uses less digits than its factorization.

41167212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 41167212800 its reverse (821276114), we get a palindrome (41988488914).

The spelling of 41167212800 in words is "forty-one billion, one hundred sixty-seven million, two hundred twelve thousand, eight hundred".