1024044826401 has 45 divisors (see below), whose sum is σ = 1539590869443. Its totient is φ = 678330994320.

The previous prime is 1024044826393. The next prime is 1024044826417. The reversal of 1024044826401 is 1046284404201.

The square root of 1024044826401 is 1011951.

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

1024044826401 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 4 + 4 + 8 + 2 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 953745606801 + 70299219600 = 976599^2 + 265140^2 .

It is not a de Polignac number, because 1024044826401 - 2³ = 1024044826393 is a prime.

It is a super-2 number, since 2×1024044826401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1024044826481) 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, 2085630766 + ... + 2085631256.

Almost surely, 2^{1024044826401} is an apocalyptic number.

1024044826401 is the 1011951-st square number.

1024044826401 is the 505976-th centered octagonal number.

It is an amenable number.

1024044826401 is a deficient number, since it is larger than the sum of its proper divisors (515546043042).

1024044826401 is an frugal number, since it uses more digits than its factorization.

1024044826401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 1024044826401 by its sum of digits (36), we get a square (36865613750436 = 6071706²).

The spelling of 1024044826401 in words is "one trillion, twenty-four billion, forty-four million, eight hundred twenty-six thousand, four hundred one".