210445032042 has 128 divisors (see below), whose sum is σ = 562929868800. Its totient is φ = 56928484800.

The previous prime is 210445032041. The next prime is 210445032043. The reversal of 210445032042 is 240230544012.

210445032042 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 450 + 3 + 204 + 2 = 666.

210445032042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210445032041) and next prime (210445032043).

It is a super-2 number, since 2×210445032042² (a number of 23 digits) contains 22 as substring.

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 = 210445031997 and 210445032015.

It is not an unprimeable number, because it can be changed into a prime (210445032041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13429692 + ... + 13445352.

It is an arithmetic number, because the mean of its divisors is an integer number (4397889600).

Almost surely, 2^210445032042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210445032042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281464934400).

210445032042 is an abundant number, since it is smaller than the sum of its proper divisors (352484836758).

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

210445032042 is a wasteful number, since it uses less digits than its factorization.

210445032042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17569 (or 17563 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 210445032042 its reverse (240230544012), we get a palindrome (450675576054).

The spelling of 210445032042 in words is "two hundred ten billion, four hundred forty-five million, thirty-two thousand, forty-two".