4240014102240 has 384 divisors, whose sum is σ = 16370593827840. Its totient is φ = 900814307328.

The previous prime is 4240014102239. The next prime is 4240014102253. The reversal of 4240014102240 is 422014100424.

4240014102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4240014102240.

It is a congruent number.

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, 2756952 + ... + 4010088.

It is an arithmetic number, because the mean of its divisors is an integer number (42631754760).

Almost surely, 2^{4240014102240} is an apocalyptic number.

4240014102240 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 4240014102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185296913920).

4240014102240 is an abundant number, since it is smaller than the sum of its proper divisors (12130579725600).

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

4240014102240 is a wasteful number, since it uses less digits than its factorization.

4240014102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253234 (or 1253226 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4240014102240 its reverse (422014100424), we get a palindrome (4662028202664).

The spelling of 4240014102240 in words is "four trillion, two hundred forty billion, fourteen million, one hundred two thousand, two hundred forty".