104066499133440 has 1440 divisors, whose sum is σ = 383256410644800. Its totient is φ = 27119805530112.

The previous prime is 104066499133439. The next prime is 104066499133447. The reversal of 104066499133440 is 44331994660401.

104066499133440 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 64 + 9 + 9 + 133 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104066499133447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954738524106 + ... + 954738524214.

It is an arithmetic number, because the mean of its divisors is an integer number (266150285170).

Almost surely, 2^{104066499133440} is an apocalyptic number.

104066499133440 is a gapful number since it is divisible by the number (10) 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 104066499133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191628205322400).

104066499133440 is an abundant number, since it is smaller than the sum of its proper divisors (279189911511360).

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

104066499133440 is an frugal number, since it uses more digits than its factorization.

104066499133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 104066499133440 in words is "one hundred four trillion, sixty-six billion, four hundred ninety-nine million, one hundred thirty-three thousand, four hundred forty".