415368103680 has 504 divisors, whose sum is σ = 1498039113312. Its totient is φ = 110296276992.

The previous prime is 415368103613. The next prime is 415368103681. The reversal of 415368103680 is 86301863514.

415368103680 is a `hidden beast` number, since 4 + 1 + 536 + 8 + 1 + 0 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415368103681) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 258473437 + ... + 258475043.

It is an arithmetic number, because the mean of its divisors is an integer number (2972299828).

Almost surely, 2^415368103680 is an apocalyptic number.

415368103680 is a gapful number since it is divisible by the number (40) 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 415368103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749019556656).

415368103680 is an abundant number, since it is smaller than the sum of its proper divisors (1082671009632).

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

415368103680 is an equidigital number, since it uses as much as digits as its factorization.

415368103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 415368103680 in words is "four hundred fifteen billion, three hundred sixty-eight million, one hundred three thousand, six hundred eighty".