104295133440 has 432 divisors, whose sum is σ = 375510827328. Its totient is φ = 27715903488.

The previous prime is 104295133427. The next prime is 104295133489. The reversal of 104295133440 is 44331592401.

104295133440 is a `hidden beast` number, since 10 + 4 + 295 + 13 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 104295133395 and 104295133404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170138574 + ... + 170139186.

Almost surely, 2^104295133440 is an apocalyptic number.

104295133440 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 104295133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187755413664).

104295133440 is an abundant number, since it is smaller than the sum of its proper divisors (271215693888).

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

104295133440 is an frugal number, since it uses more digits than its factorization.

104295133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1170 counting only the distinct ones).

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

The spelling of 104295133440 in words is "one hundred four billion, two hundred ninety-five million, one hundred thirty-three thousand, four hundred forty".