10175681040 has 240 divisors, whose sum is σ = 38626902720. Its totient is φ = 2203407360.

The previous prime is 10175681029. The next prime is 10175681057. The reversal of 10175681040 is 4018657101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 10175680992 and 10175681010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200670 + ... + 246210.

It is an arithmetic number, because the mean of its divisors is an integer number (160945428).

Almost surely, 2^10175681040 is an apocalyptic number.

10175681040 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 10175681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313451360).

10175681040 is an abundant number, since it is smaller than the sum of its proper divisors (28451221680).

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

10175681040 is a wasteful number, since it uses less digits than its factorization.

10175681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45590 (or 45577 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10175681040 in words is "ten billion, one hundred seventy-five million, six hundred eighty-one thousand, forty".