4104217315840 has 240 divisors, whose sum is σ = 10218760691832. Its totient is φ = 1580718882816.

The previous prime is 4104217315837. The next prime is 4104217315843. The reversal of 4104217315840 is 485137124014.

It is an interprime number because it is at equal distance from previous prime (4104217315837) and next prime (4104217315843).

It can be written as a sum of positive squares in 12 ways, for example, as 711606970624 + 3392610345216 = 843568^2 + 1841904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4104217315793 and 4104217315802.

It is not an unprimeable number, because it can be changed into a prime (4104217315843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339944044 + ... + 339956116.

Almost surely, 2^{4104217315840} is an apocalyptic number.

4104217315840 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 4104217315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109380345916).

4104217315840 is an abundant number, since it is smaller than the sum of its proper divisors (6114543375992).

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

4104217315840 is an equidigital number, since it uses as much as digits as its factorization.

4104217315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 4104217315840 in words is "four trillion, one hundred four billion, two hundred seventeen million, three hundred fifteen thousand, eight hundred forty".