4077445000 has 80 divisors (see below), whose sum is σ = 9613985040. Its totient is φ = 1620648000.

The previous prime is 4077444989. The next prime is 4077445027. The reversal of 4077445000 is 5447704.

4077445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 812499 + ... + 817501.

It is an arithmetic number, because the mean of its divisors is an integer number (120174813).

Almost surely, 2^4077445000 is an apocalyptic number.

4077445000 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 4077445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806992520).

4077445000 is an abundant number, since it is smaller than the sum of its proper divisors (5536540040).

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

4077445000 is a wasteful number, since it uses less digits than its factorization.

4077445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 4077445000 is about 63854.8745202745. The cubic root of 4077445000 is about 1597.5803269586.

The spelling of 4077445000 in words is "four billion, seventy-seven million, four hundred forty-five thousand".