10700080040 has 64 divisors (see below), whose sum is σ = 25943394960. Its totient is φ = 3948318720.

The previous prime is 10700080037. The next prime is 10700080043. The reversal of 10700080040 is 4008000701.

It is a happy number.

10700080040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10700080037) and next prime (10700080043).

It can be written as a sum of positive squares in 8 ways, for example, as 7279204 + 10692800836 = 2698^2 + 103406^2 .

It is a super-3 number, since 3×10700080040³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10700079994 and 10700080021.

It is not an unprimeable number, because it can be changed into a prime (10700080043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962192 + ... + 973248.

Almost surely, 2^10700080040 is an apocalyptic number.

10700080040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10700080040 is an abundant number, since it is smaller than the sum of its proper divisors (15243314920).

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

10700080040 is a wasteful number, since it uses less digits than its factorization.

10700080040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12942 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 10700080040 its reverse (4008000701), we get a palindrome (14708080741).

The spelling of 10700080040 in words is "ten billion, seven hundred million, eighty thousand, forty".