10345152240 has 120 divisors (see below), whose sum is σ = 34868565888. Its totient is φ = 2748695040.

The previous prime is 10345152229. The next prime is 10345152247. The reversal of 10345152240 is 4225154301.

10345152240 is a `hidden beast` number, since 103 + 4 + 515 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345152247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173505 + ... + 225375.

Almost surely, 2^10345152240 is an apocalyptic number.

10345152240 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 10345152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434282944).

10345152240 is an abundant number, since it is smaller than the sum of its proper divisors (24523413648).

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

10345152240 is a wasteful number, since it uses less digits than its factorization.

10345152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52167 (or 52158 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10345152240 in words is "ten billion, three hundred forty-five million, one hundred fifty-two thousand, two hundred forty".