4120582440 has 128 divisors (see below), whose sum is σ = 14013417600. Its totient is φ = 960906240.

The previous prime is 4120582397. The next prime is 4120582447. The reversal of 4120582440 is 442850214.

4120582440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 4120582398 and 4120582407.

It is not an unprimeable number, because it can be changed into a prime (4120582447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39871 + ... + 99150.

It is an arithmetic number, because the mean of its divisors is an integer number (109479825).

Almost surely, 2^4120582440 is an apocalyptic number.

4120582440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120582440 is an abundant number, since it is smaller than the sum of its proper divisors (9892835160).

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

4120582440 is a wasteful number, since it uses less digits than its factorization.

4120582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139067 (or 139063 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 4120582440 is about 64191.7630229923. The cubic root of 4120582440 is about 1603.1944564521.

The spelling of 4120582440 in words is "four billion, one hundred twenty million, five hundred eighty-two thousand, four hundred forty".