104431403520 has 640 divisors, whose sum is σ = 391378521600. Its totient is φ = 26353926144.

The previous prime is 104431403509. The next prime is 104431403533. The reversal of 104431403520 is 25304134401.

It is a happy number.

104431403520 is a `hidden beast` number, since 104 + 4 + 31 + 4 + 0 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106236949 + ... + 106237931.

It is an arithmetic number, because the mean of its divisors is an integer number (611528940).

Almost surely, 2^104431403520 is an apocalyptic number.

104431403520 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 104431403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195689260800).

104431403520 is an abundant number, since it is smaller than the sum of its proper divisors (286947118080).

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

104431403520 is an equidigital number, since it uses as much as digits as its factorization.

104431403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104431403520 its reverse (25304134401), we get a palindrome (129735537921).

The spelling of 104431403520 in words is "one hundred four billion, four hundred thirty-one million, four hundred three thousand, five hundred twenty".