104593213440 has 480 divisors, whose sum is σ = 383013671040. Its totient is φ = 27287912448.

The previous prime is 104593213429. The next prime is 104593213493. The reversal of 104593213440 is 44312395401.

104593213440 is a `hidden beast` number, since 1 + 0 + 4 + 593 + 21 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 104593213395 and 104593213404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38982339 + ... + 38985021.

It is an arithmetic number, because the mean of its divisors is an integer number (797945148).

Almost surely, 2^104593213440 is an apocalyptic number.

104593213440 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 104593213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191506835520).

104593213440 is an abundant number, since it is smaller than the sum of its proper divisors (278420457600).

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

104593213440 is an equidigital number, since it uses as much as digits as its factorization.

104593213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 104593213440 in words is "one hundred four billion, five hundred ninety-three million, two hundred thirteen thousand, four hundred forty".