4058793440 has 192 divisors, whose sum is σ = 11071541376. Its totient is φ = 1394122752.

The previous prime is 4058793439. The next prime is 4058793457. The reversal of 4058793440 is 443978504.

4058793440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4058793391 and 4058793400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1768934 + ... + 1771226.

It is an arithmetic number, because the mean of its divisors is an integer number (57664278).

Almost surely, 2^4058793440 is an apocalyptic number.

4058793440 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 4058793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535770688).

4058793440 is an abundant number, since it is smaller than the sum of its proper divisors (7012747936).

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

4058793440 is a wasteful number, since it uses less digits than its factorization.

4058793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 4058793440 is about 63708.6606357409. The cubic root of 4058793440 is about 1595.1406524877.

The spelling of 4058793440 in words is "four billion, fifty-eight million, seven hundred ninety-three thousand, four hundred forty".