440521420010321 has 16 divisors (see below), whose sum is σ = 474907135022544. Its totient is φ = 406207095865344.

The previous prime is 440521420010249. The next prime is 440521420010323. The reversal of 440521420010321 is 123010024125044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9771319579921 + 430750100430400 = 3125911^2 + 20754520^2 .

It is a cyclic number.

It is not a de Polignac number, because 440521420010321 - 2⁴² = 436123373499217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (440521420010323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262960265 + ... + 264630201.

It is an arithmetic number, because the mean of its divisors is an integer number (29681695938909).

Almost surely, 2^{440521420010321} is an apocalyptic number.

It is an amenable number.

440521420010321 is a deficient number, since it is larger than the sum of its proper divisors (34385715012223).

440521420010321 is a wasteful number, since it uses less digits than its factorization.

440521420010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691300.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 440521420010321 its reverse (123010024125044), we get a palindrome (563531444135365).

The spelling of 440521420010321 in words is "four hundred forty trillion, five hundred twenty-one billion, four hundred twenty million, ten thousand, three hundred twenty-one".