41964239116800 has 8640 divisors, whose sum is σ = 223566725099520. Its totient is φ = 7608287232000.

The previous prime is 41964239116733. The next prime is 41964239116841. The reversal of 41964239116800 is 861193246914.

41964239116800 is a `hidden beast` number, since 4 + 1 + 96 + 4 + 2 + 391 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 975912537579 + ... + 975912537621.

It is an arithmetic number, because the mean of its divisors is an integer number (25875778368).

Almost surely, 2^{41964239116800} is an apocalyptic number.

41964239116800 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 41964239116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111783362549760).

41964239116800 is an abundant number, since it is smaller than the sum of its proper divisors (181602485982720).

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

41964239116800 is a wasteful number, since it uses less digits than its factorization.

41964239116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 41964239116800 in words is "forty-one trillion, nine hundred sixty-four billion, two hundred thirty-nine million, one hundred sixteen thousand, eight hundred".