91442131200000 has 2880 divisors, whose sum is σ = 395379704079360. Its totient is φ = 20623196160000.

The previous prime is 91442131199891. The next prime is 91442131200001. The reversal of 91442131200000 is 213124419.

It is a happy number.

91442131200000 is a `hidden beast` number, since 9 + 1 + 4 + 421 + 31 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (91442131200001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410054399889 + ... + 410054400111.

It is an arithmetic number, because the mean of its divisors is an integer number (137284619472).

Almost surely, 2^{91442131200000} is an apocalyptic number.

91442131200000 is a gapful number since it is divisible by the number (90) 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 91442131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197689852039680).

91442131200000 is an abundant number, since it is smaller than the sum of its proper divisors (303937572879360).

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

91442131200000 is an equidigital number, since it uses as much as digits as its factorization.

91442131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 91442131200000 its reverse (213124419), we get a palindrome (91442344324419).

The spelling of 91442131200000 in words is "ninety-one trillion, four hundred forty-two billion, one hundred thirty-one million, two hundred thousand".