4058351631360 has 616 divisors, whose sum is σ = 15719231676960. Its totient is φ = 998966919168.

The previous prime is 4058351631353. The next prime is 4058351631407. The reversal of 4058351631360 is 631361538504.

4058351631360 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 3 + 5 + 1 + 631 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48480421 + ... + 48564059.

Almost surely, 2^{4058351631360} is an apocalyptic number.

4058351631360 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 4058351631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859615838480).

4058351631360 is an abundant number, since it is smaller than the sum of its proper divisors (11660880045600).

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

4058351631360 is an equidigital number, since it uses as much as digits as its factorization.

4058351631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83695 (or 83662 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4058351631360 in words is "four trillion, fifty-eight billion, three hundred fifty-one million, six hundred thirty-one thousand, three hundred sixty".