10445044401 has 81 divisors (see below), whose sum is σ = 17610337017. Its totient is φ = 5960362320.

The previous prime is 10445044369. The next prime is 10445044403. The reversal of 10445044401 is 10444054401.

The square root of 10445044401 is 102201.

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

It is not a de Polignac number, because 10445044401 - 2⁵ = 10445044369 is a prime.

It is a super-2 number, since 2×10445044401² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10445044403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64079946 + ... + 64080108.

Almost surely, 2^10445044401 is an apocalyptic number.

10445044401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10445044401 is the 102201-st square number.

10445044401 is the 51101-st centered octagonal number.

It is an amenable number.

10445044401 is a deficient number, since it is larger than the sum of its proper divisors (7165292616).

10445044401 is a wasteful number, since it uses less digits than its factorization.

10445044401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10445044401 its reverse (10444054401), we get a palindrome (20889098802).

The spelling of 10445044401 in words is "ten billion, four hundred forty-five million, forty-four thousand, four hundred one".