4058413632 has 420 divisors, whose sum is σ = 15083325180. Its totient is φ = 1069479936.

The previous prime is 4058413603. The next prime is 4058413633. The reversal of 4058413632 is 2363148504.

4058413632 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 4 + 13 + 632 = 666.

4058413632 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 can be written as a sum of positive squares in 2 ways, for example, as 2591217216 + 1467196416 = 50904^2 + 38304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4058413633) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301594 + ... + 3302822.

It is an arithmetic number, because the mean of its divisors is an integer number (35912679).

Almost surely, 2^4058413632 is an apocalyptic number.

4058413632 is a gapful number since it is divisible by the number (42) 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 4058413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541662590).

4058413632 is an abundant number, since it is smaller than the sum of its proper divisors (11024911548).

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

4058413632 is a wasteful number, since it uses less digits than its factorization.

4058413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4058413632 is about 63705.6797467855. The cubic root of 4058413632 is about 1595.0908950012.

The spelling of 4058413632 in words is "four billion, fifty-eight million, four hundred thirteen thousand, six hundred thirty-two".