1004452105032 has 160 divisors (see below), whose sum is σ = 2851570022400. Its totient is φ = 330281991936.

The previous prime is 1004452104961. The next prime is 1004452105091. The reversal of 1004452105032 is 2305012544001.

1004452105032 is a `hidden beast` number, since 1 + 0 + 0 + 445 + 210 + 5 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1004452104987 and 1004452105005.

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 39 ways as a sum of consecutive naturals, for example, 61063833 + ... + 61080279.

It is an arithmetic number, because the mean of its divisors is an integer number (17822312640).

Almost surely, 2^{1004452105032} is an apocalyptic number.

1004452105032 is a gapful number since it is divisible by the number (12) 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 1004452105032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425785011200).

1004452105032 is an abundant number, since it is smaller than the sum of its proper divisors (1847117917368).

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

1004452105032 is a wasteful number, since it uses less digits than its factorization.

1004452105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17737 (or 17724 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1004452105032 its reverse (2305012544001), we get a palindrome (3309464649033).

The spelling of 1004452105032 in words is "one trillion, four billion, four hundred fifty-two million, one hundred five thousand, thirty-two".