415641550104 has 96 divisors (see below), whose sum is σ = 1229330831040. Its totient is φ = 125818756800.

The previous prime is 415641550067. The next prime is 415641550111. The reversal of 415641550104 is 401055146514.

415641550104 is a `hidden beast` number, since 4 + 1 + 5 + 641 + 5 + 5 + 0 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472939 + ... + 1027109.

It is an arithmetic number, because the mean of its divisors is an integer number (12805529490).

Almost surely, 2^415641550104 is an apocalyptic number.

415641550104 is a gapful number since it is divisible by the number (44) 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 415641550104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614665415520).

415641550104 is an abundant number, since it is smaller than the sum of its proper divisors (813689280936).

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

415641550104 is a wasteful number, since it uses less digits than its factorization.

415641550104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555141 (or 555134 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 415641550104 its reverse (401055146514), we get a palindrome (816696696618).

The spelling of 415641550104 in words is "four hundred fifteen billion, six hundred forty-one million, five hundred fifty thousand, one hundred four".