400444120321 has 32 divisors (see below), whose sum is σ = 483012288000. Its totient is φ = 324571484160.

The previous prime is 400444120217. The next prime is 400444120333. The reversal of 400444120321 is 123021444004.

It is not a de Polignac number, because 400444120321 - 2¹³ = 400444112129 is a prime.

It is a super-4 number, since 4×400444120321⁴ (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400444120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7854091 + ... + 7904911.

It is an arithmetic number, because the mean of its divisors is an integer number (15094134000).

Almost surely, 2^400444120321 is an apocalyptic number.

It is an amenable number.

400444120321 is a deficient number, since it is larger than the sum of its proper divisors (82568167679).

400444120321 is a wasteful number, since it uses less digits than its factorization.

400444120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51409.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 400444120321 its reverse (123021444004), we get a palindrome (523465564325).

The spelling of 400444120321 in words is "four hundred billion, four hundred forty-four million, one hundred twenty thousand, three hundred twenty-one".