104208616440 has 96 divisors (see below), whose sum is σ = 339928056000. Its totient is φ = 27686396160.

The previous prime is 104208616429. The next prime is 104208616481. The reversal of 104208616440 is 44616802401.

It is a happy number.

104208616440 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 8 + 6 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104208616395 and 104208616404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436515 + ... + 631634.

It is an arithmetic number, because the mean of its divisors is an integer number (3540917250).

Almost surely, 2^104208616440 is an apocalyptic number.

104208616440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104208616440 is an abundant number, since it is smaller than the sum of its proper divisors (235719439560).

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

104208616440 is a wasteful number, since it uses less digits than its factorization.

104208616440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068437 (or 1068430 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 104208616440 in words is "one hundred four billion, two hundred eight million, six hundred sixteen thousand, four hundred forty".