104466949440 has 336 divisors, whose sum is σ = 402614416512. Its totient is φ = 22839742464.

The previous prime is 104466949439. The next prime is 104466949451. The reversal of 104466949440 is 44949664401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033642 + ... + 1130198.

It is an arithmetic number, because the mean of its divisors is an integer number (1198257192).

Almost surely, 2^104466949440 is an apocalyptic number.

104466949440 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 104466949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201307208256).

104466949440 is an abundant number, since it is smaller than the sum of its proper divisors (298147467072).

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

104466949440 is a wasteful number, since it uses less digits than its factorization.

104466949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96614 (or 96597 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 104466949440 in words is "one hundred four billion, four hundred sixty-six million, nine hundred forty-nine thousand, four hundred forty".