10445150344140 has 288 divisors, whose sum is σ = 32647385534400. Its totient is φ = 2701916006400.

The previous prime is 10445150344129. The next prime is 10445150344147. The reversal of 10445150344140 is 4144305154401.

10445150344140 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 1 + 503 + 4 + 4 + 140 = 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 = 10445150344095 and 10445150344104.

It is not an unprimeable number, because it can be changed into a prime (10445150344147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 712048726 + ... + 712063394.

It is an arithmetic number, because the mean of its divisors is an integer number (113358977550).

Almost surely, 2^{10445150344140} is an apocalyptic number.

10445150344140 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 10445150344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323692767200).

10445150344140 is an abundant number, since it is smaller than the sum of its proper divisors (22202235190260).

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

10445150344140 is a wasteful number, since it uses less digits than its factorization.

10445150344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15577 (or 15572 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10445150344140 its reverse (4144305154401), we get a palindrome (14589455498541).

The spelling of 10445150344140 in words is "ten trillion, four hundred forty-five billion, one hundred fifty million, three hundred forty-four thousand, one hundred forty".