11006707403440 has 80 divisors (see below), whose sum is σ = 29246889150720. Its totient is φ = 3773664357120.

The previous prime is 11006707403437. The next prime is 11006707403443. The reversal of 11006707403440 is 4430470760011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11006707403437) and next prime (11006707403443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11006707403440² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006707403440.

It is not an unprimeable number, because it can be changed into a prime (11006707403443) 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, 42863751 + ... + 43119769.

It is an arithmetic number, because the mean of its divisors is an integer number (365586114384).

Almost surely, 2^{11006707403440} is an apocalyptic number.

11006707403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006707403440 is an abundant number, since it is smaller than the sum of its proper divisors (18240181747280).

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

11006707403440 is a wasteful number, since it uses less digits than its factorization.

11006707403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332810 (or 332804 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 11006707403440 in words is "eleven trillion, six billion, seven hundred seven million, four hundred three thousand, four hundred forty".