4120408120440 has 64 divisors (see below), whose sum is σ = 12361941567360. Its totient is φ = 1098711747200.

The previous prime is 4120408120397. The next prime is 4120408120459. The reversal of 4120408120440 is 440218040214.

It is a super-3 number, since 3×4120408120440³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4120408120398 and 4120408120407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099015 + ... + 3073865.

It is an arithmetic number, because the mean of its divisors is an integer number (193155336990).

Almost surely, 2^{4120408120440} is an apocalyptic number.

4120408120440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120408120440 is an abundant number, since it is smaller than the sum of its proper divisors (8241533446920).

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

4120408120440 is a wasteful number, since it uses less digits than its factorization.

4120408120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992252 (or 1992248 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 4120408120440 in words is "four trillion, one hundred twenty billion, four hundred eight million, one hundred twenty thousand, four hundred forty".