440410434100230 has 256 divisors, whose sum is σ = 1205273176031232. Its totient is φ = 102040821120000.

The previous prime is 440410434100223. The next prime is 440410434100237. The reversal of 440410434100230 is 32001434014044.

It is an interprime number because it is at equal distance from previous prime (440410434100223) and next prime (440410434100237).

It is a super-2 number, since 2×440410434100230² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440410434100237) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2968431250 + ... + 2968579610.

It is an arithmetic number, because the mean of its divisors is an integer number (4708098343872).

Almost surely, 2^{440410434100230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440410434100230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602636588015616).

440410434100230 is an abundant number, since it is smaller than the sum of its proper divisors (764862741931002).

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

440410434100230 is a wasteful number, since it uses less digits than its factorization.

440410434100230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152923.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 440410434100230 its reverse (32001434014044), we get a palindrome (472411868114274).

The spelling of 440410434100230 in words is "four hundred forty trillion, four hundred ten billion, four hundred thirty-four million, one hundred thousand, two hundred thirty".