4058737440 has 288 divisors, whose sum is σ = 13756599360. Its totient is φ = 1005447168.

The previous prime is 4058737429. The next prime is 4058737447. The reversal of 4058737440 is 447378504.

It is a junction number, because it is equal to n+sod(n) for n = 4058737392 and 4058737401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4058737447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10223322 + ... + 10223718.

It is an arithmetic number, because the mean of its divisors is an integer number (47765970).

Almost surely, 2^4058737440 is an apocalyptic number.

4058737440 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 4058737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878299680).

4058737440 is an abundant number, since it is smaller than the sum of its proper divisors (9697861920).

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

4058737440 is a wasteful number, since it uses less digits than its factorization.

4058737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 4058737440 is about 63708.2211335397. The cubic root of 4058737440 is about 1595.1333162938.

The spelling of 4058737440 in words is "four billion, fifty-eight million, seven hundred thirty-seven thousand, four hundred forty".