1044102014401 has 8 divisors (see below), whose sum is σ = 1106611130664. Its totient is φ = 981714159360.

The previous prime is 1044102014399. The next prime is 1044102014413.

1044102014401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9251554225 + 1034850460176 = 96185^2 + 1017276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1044102014401 - 2¹ = 1044102014399 is a prime.

It is a super-2 number, since 2×1044102014401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1044102014201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30297570 + ... + 30332011.

It is an arithmetic number, because the mean of its divisors is an integer number (138326391333).

Almost surely, 2^{1044102014401} is an apocalyptic number.

It is an amenable number.

1044102014401 is a deficient number, since it is larger than the sum of its proper divisors (62509116263).

1044102014401 is a wasteful number, since it uses less digits than its factorization.

1044102014401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60630611.

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 1044102014401 in words is "one trillion, forty-four billion, one hundred two million, fourteen thousand, four hundred one".