10745313840 has 120 divisors (see below), whose sum is σ = 36580858080. Its totient is φ = 2826150912.

The previous prime is 10745313833. The next prime is 10745313847. The reversal of 10745313840 is 4831354701.

It is a happy number.

10745313840 is a `hidden beast` number, since 10 + 74 + 531 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10745313833) and next prime (10745313847).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10745313795 and 10745313804.

It is not an unprimeable number, because it can be changed into a prime (10745313847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49660 + ... + 154779.

It is an arithmetic number, because the mean of its divisors is an integer number (304840484).

Almost surely, 2^10745313840 is an apocalyptic number.

10745313840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10745313840 is an abundant number, since it is smaller than the sum of its proper divisors (25835544240).

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

10745313840 is a wasteful number, since it uses less digits than its factorization.

10745313840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204531 (or 204522 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10745313840 in words is "ten billion, seven hundred forty-five million, three hundred thirteen thousand, eight hundred forty".