4345606855040 has 1152 divisors, whose sum is σ = 12725789247360. Its totient is φ = 1415776665600.

The previous prime is 4345606855001. The next prime is 4345606855049. The reversal of 4345606855040 is 405586065434.

4345606855040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4345606855040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4345606855049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71239456610 + ... + 71239456670.

It is an arithmetic number, because the mean of its divisors is an integer number (11046692055).

Almost surely, 2^{4345606855040} is an apocalyptic number.

4345606855040 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 4345606855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362894623680).

4345606855040 is an abundant number, since it is smaller than the sum of its proper divisors (8380182392320).

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

4345606855040 is a wasteful number, since it uses less digits than its factorization.

4345606855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

The spelling of 4345606855040 in words is "four trillion, three hundred forty-five billion, six hundred six million, eight hundred fifty-five thousand, forty".