104613949440 has 2184 divisors, whose sum is σ = 514389950928. Its totient is φ = 20065812480.

The previous prime is 104613949439. The next prime is 104613949469. The reversal of 104613949440 is 44949316401.

104613949440 is a `hidden beast` number, since 10 + 461 + 3 + 94 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8047226874 + ... + 8047226886.

Almost surely, 2^104613949440 is an apocalyptic number.

104613949440 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 104613949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257194975464).

104613949440 is an abundant number, since it is smaller than the sum of its proper divisors (409776001488).

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

104613949440 is an equidigital number, since it uses as much as digits as its factorization.

104613949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 104613949440 in words is "one hundred four billion, six hundred thirteen million, nine hundred forty-nine thousand, four hundred forty".