104364469440 has 560 divisors, whose sum is σ = 462856990464. Its totient is φ = 21685708800.

The previous prime is 104364469439. The next prime is 104364469457. The reversal of 104364469440 is 44964463401.

104364469440 is a `hidden beast` number, since 104 + 3 + 6 + 44 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 1969695 + ... + 2021985.

Almost surely, 2^104364469440 is an apocalyptic number.

104364469440 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 104364469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231428495232).

104364469440 is an abundant number, since it is smaller than the sum of its proper divisors (358492521024).

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

104364469440 is a wasteful number, since it uses less digits than its factorization.

104364469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52338 (or 52319 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 104364469440 in words is "one hundred four billion, three hundred sixty-four million, four hundred sixty-nine thousand, four hundred forty".