10440541106028 has 72 divisors (see below), whose sum is σ = 28791393518160. Its totient is φ = 3163711272960.

The previous prime is 10440541105999. The next prime is 10440541106053. The reversal of 10440541106028 is 82060114504401.

10440541106028 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 5 + 41 + 1 + 0 + 602 + 8 = 666.

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 = 10440541105983 and 10440541106001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14461576 + ... + 15166352.

It is an arithmetic number, because the mean of its divisors is an integer number (399880465530).

Almost surely, 2^{10440541106028} is an apocalyptic number.

10440541106028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10440541106028 is an abundant number, since it is smaller than the sum of its proper divisors (18350852412132).

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

10440541106028 is a wasteful number, since it uses less digits than its factorization.

10440541106028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742207 (or 742202 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10440541106028 in words is "ten trillion, four hundred forty billion, five hundred forty-one million, one hundred six thousand, twenty-eight".