4080248414208 has 168 divisors, whose sum is σ = 12009066266808. Its totient is φ = 1334419587072.

The previous prime is 4080248414201. The next prime is 4080248414233. The reversal of 4080248414208 is 8024148420804.

4080248414208 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 24 + 8 + 414 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080248414201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3385491 + ... + 4429677.

Almost surely, 2^{4080248414208} is an apocalyptic number.

4080248414208 is a gapful number since it is divisible by the number (48) 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 4080248414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004533133404).

4080248414208 is an abundant number, since it is smaller than the sum of its proper divisors (7928817852600).

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

4080248414208 is a wasteful number, since it uses less digits than its factorization.

4080248414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044272 (or 1044245 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 4080248414208 in words is "four trillion, eighty billion, two hundred forty-eight million, four hundred fourteen thousand, two hundred eight".