4058290080 has 384 divisors, whose sum is σ = 15444172800. Its totient is φ = 989356032.

The previous prime is 4058290069. The next prime is 4058290081. The reversal of 4058290080 is 800928504.

4058290080 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is not an unprimeable number, because it can be changed into a prime (4058290081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7132036 + ... + 7132604.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^4058290080 is an apocalyptic number.

4058290080 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 4058290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

4058290080 is an abundant number, since it is smaller than the sum of its proper divisors (11385882720).

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

4058290080 is a wasteful number, since it uses less digits than its factorization.

4058290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4058290080 is about 63704.7100299499. The cubic root of 4058290080 is about 1595.0747081617.

The spelling of 4058290080 in words is "four billion, fifty-eight million, two hundred ninety thousand, eighty".