104204010040344 has 256 divisors, whose sum is σ = 309345618931200. Its totient is φ = 32386325078016.

The previous prime is 104204010040243. The next prime is 104204010040423. The reversal of 104204010040344 is 443040010402401.

104204010040344 is a `hidden beast` number, since 1 + 0 + 4 + 204 + 0 + 10 + 0 + 403 + 44 = 666.

It is a super-2 number, since 2×104204010040344² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864251407 + ... + 864371969.

It is an arithmetic number, because the mean of its divisors is an integer number (1208381323950).

Almost surely, 2^{104204010040344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104204010040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154672809465600).

104204010040344 is an abundant number, since it is smaller than the sum of its proper divisors (205141608890856).

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

104204010040344 is a wasteful number, since it uses less digits than its factorization.

104204010040344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122791 (or 122781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104204010040344 its reverse (443040010402401), we get a palindrome (547244020442745).

The spelling of 104204010040344 in words is "one hundred four trillion, two hundred four billion, ten million, forty thousand, three hundred forty-four".