10058375040 has 768 divisors, whose sum is σ = 41693356800. Its totient is φ = 2043740160.

The previous prime is 10058375027. The next prime is 10058375113. The reversal of 10058375040 is 4057385001.

It is a junction number, because it is equal to n+sod(n) for n = 10058374992 and 10058375010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30387675 + ... + 30388005.

It is an arithmetic number, because the mean of its divisors is an integer number (54288225).

Almost surely, 2^10058375040 is an apocalyptic number.

10058375040 is a gapful number since it is divisible by the number (10) 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 10058375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846678400).

10058375040 is an abundant number, since it is smaller than the sum of its proper divisors (31634981760).

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

10058375040 is a wasteful number, since it uses less digits than its factorization.

10058375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 10058375040 in words is "ten billion, fifty-eight million, three hundred seventy-five thousand, forty".