11006605454440 has 32 divisors (see below), whose sum is σ = 24814491300000. Its totient is φ = 4393819243584.

The previous prime is 11006605454417. The next prime is 11006605454491. The reversal of 11006605454440 is 4445450660011.

It is a happy number.

It is a super-2 number, since 2×11006605454440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11006605454393 and 11006605454402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275696610 + ... + 275736529.

It is an arithmetic number, because the mean of its divisors is an integer number (775452853125).

Almost surely, 2^{11006605454440} is an apocalyptic number.

11006605454440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006605454440 is an abundant number, since it is smaller than the sum of its proper divisors (13807885845560).

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

11006605454440 is a wasteful number, since it uses less digits than its factorization.

11006605454440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551433649 (or 551433645 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 11006605454440 in words is "eleven trillion, six billion, six hundred five million, four hundred fifty-four thousand, four hundred forty".