10173335040 has 480 divisors, whose sum is σ = 38848826016. Its totient is φ = 2439905280.

The previous prime is 10173335033. The next prime is 10173335057. The reversal of 10173335040 is 4053337101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 10173334995 and 10173335013.

It is a congruent number.

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, 34721134 + ... + 34721426.

Almost surely, 2^10173335040 is an apocalyptic number.

10173335040 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 10173335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424413008).

10173335040 is an abundant number, since it is smaller than the sum of its proper divisors (28675490976).

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

10173335040 is a wasteful number, since it uses less digits than its factorization.

10173335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 10173335040 in words is "ten billion, one hundred seventy-three million, three hundred thirty-five thousand, forty".