1033214041044 has 144 divisors (see below), whose sum is σ = 2893696919568. Its totient is φ = 309433872384.

The previous prime is 1033214041019. The next prime is 1033214041063. The reversal of 1033214041044 is 4401404123301.

1033214041044 is a `hidden beast` number, since 1 + 0 + 33 + 214 + 0 + 410 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47188872900 + 986025168144 = 217230^2 + 992988^2 .

It is a super-2 number, since 2×1033214041044² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033214040999 and 1033214041017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769674 + ... + 1630590.

It is an arithmetic number, because the mean of its divisors is an integer number (20095117497).

Almost surely, 2^{1033214041044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033214041044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446848459784).

1033214041044 is an abundant number, since it is smaller than the sum of its proper divisors (1860482878524).

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

1033214041044 is a wasteful number, since it uses less digits than its factorization.

1033214041044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861034 (or 861029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1033214041044 its reverse (4401404123301), we get a palindrome (5434618164345).

The spelling of 1033214041044 in words is "one trillion, thirty-three billion, two hundred fourteen million, forty-one thousand, forty-four".