10445604661140 has 192 divisors, whose sum is σ = 31993145856000. Its totient is φ = 2525401105920.

The previous prime is 10445604661021. The next prime is 10445604661157. The reversal of 10445604661140 is 4116640654401.

It is a super-2 number, since 2×10445604661140² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10445604661092 and 10445604661101.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1614713826 + ... + 1614720294.

It is an arithmetic number, because the mean of its divisors is an integer number (166630968000).

Almost surely, 2^{10445604661140} is an apocalyptic number.

10445604661140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445604661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996572928000).

10445604661140 is an abundant number, since it is smaller than the sum of its proper divisors (21547541194860).

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

10445604661140 is a wasteful number, since it uses less digits than its factorization.

10445604661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 10445604661140 in words is "ten trillion, four hundred forty-five billion, six hundred four million, six hundred sixty-one thousand, one hundred forty".