440894672001 has 45 divisors (see below), whose sum is σ = 743109476291. Its totient is φ = 251884036656.

The previous prime is 440894671999. The next prime is 440894672027. The reversal of 440894672001 is 100276498044.

The square root of 440894672001 is 663999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1755191025 + 439139480976 = 41895^2 + 662676^2 .

It is not a de Polignac number, because 440894672001 - 2¹ = 440894671999 is a prime.

It is a super-2 number, since 2×440894672001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440894672201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97605595 + ... + 97610111.

Almost surely, 2^440894672001 is an apocalyptic number.

440894672001 is the 663999-th square number.

440894672001 is the 332000-th centered octagonal number.

It is an amenable number.

440894672001 is a deficient number, since it is larger than the sum of its proper divisors (302214804290).

440894672001 is an frugal number, since it uses more digits than its factorization.

440894672001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9068 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 440894672001 in words is "four hundred forty billion, eight hundred ninety-four million, six hundred seventy-two thousand, one".