64009941811200 has 3840 divisors, whose sum is σ = 307063025280000. Its totient is φ = 12842119987200.

The previous prime is 64009941811163. The next prime is 64009941811201. The reversal of 64009941811200 is 211814990046.

It is a happy number.

64009941811200 is a `hidden beast` number, since 6 + 400 + 9 + 9 + 41 + 81 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64009941811201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2207239372786 + ... + 2207239372814.

It is an arithmetic number, because the mean of its divisors is an integer number (79964329500).

Almost surely, 2^{64009941811200} is an apocalyptic number.

64009941811200 is a gapful number since it is divisible by the number (60) 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 64009941811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153531512640000).

64009941811200 is an abundant number, since it is smaller than the sum of its proper divisors (243053083468800).

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

64009941811200 is an frugal number, since it uses more digits than its factorization.

64009941811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 64009941811200 in words is "sixty-four trillion, nine billion, nine hundred forty-one million, eight hundred eleven thousand, two hundred".