104091402240 has 960 divisors, whose sum is σ = 433342264320. Its totient is φ = 23505666048.

The previous prime is 104091402229. The next prime is 104091402269. The reversal of 104091402240 is 42204190401.

It is a happy number.

104091402240 is a `hidden beast` number, since 1 + 0 + 409 + 14 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254113239 + ... + 1254113321.

It is an arithmetic number, because the mean of its divisors is an integer number (451398192).

Almost surely, 2^104091402240 is an apocalyptic number.

104091402240 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 104091402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216671132160).

104091402240 is an abundant number, since it is smaller than the sum of its proper divisors (329250862080).

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

104091402240 is an frugal number, since it uses more digits than its factorization.

104091402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 104091402240 its reverse (42204190401), we get a palindrome (146295592641).

The spelling of 104091402240 in words is "one hundred four billion, ninety-one million, four hundred two thousand, two hundred forty".