4334403677440 has 72 divisors (see below), whose sum is σ = 10382608212480. Its totient is φ = 1733701871616.

The previous prime is 4334403677419. The next prime is 4334403677447. The reversal of 4334403677440 is 447763044334.

4334403677440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334403677447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72990481 + ... + 73049839.

It is an arithmetic number, because the mean of its divisors is an integer number (144202891840).

Almost surely, 2^{4334403677440} is an apocalyptic number.

4334403677440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334403677440 is an abundant number, since it is smaller than the sum of its proper divisors (6048204535040).

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

4334403677440 is an equidigital number, since it uses as much as digits as its factorization.

4334403677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116427 (or 116413 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 49.

The spelling of 4334403677440 in words is "four trillion, three hundred thirty-four billion, four hundred three million, six hundred seventy-seven thousand, four hundred forty".