4058097408 has 360 divisors, whose sum is σ = 12821276160. Its totient is φ = 1274849280.

The previous prime is 4058097383. The next prime is 4058097419. The reversal of 4058097408 is 8047908504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37926091 + ... + 37926197.

It is an arithmetic number, because the mean of its divisors is an integer number (35614656).

Almost surely, 2^4058097408 is an apocalyptic number.

4058097408 is a gapful number since it is divisible by the number (48) 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 4058097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638080).

4058097408 is an abundant number, since it is smaller than the sum of its proper divisors (8763178752).

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

4058097408 is a wasteful number, since it uses less digits than its factorization.

4058097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4058097408 is about 63703.1977847266. The cubic root of 4058097408 is about 1595.0494650920.

The spelling of 4058097408 in words is "four billion, fifty-eight million, ninety-seven thousand, four hundred eight".