1414051561321 has 27 divisors (see below), whose sum is σ = 1653844510917. Its totient is φ = 1205501552640.

The previous prime is 1414051561301. The next prime is 1414051561369. The reversal of 1414051561321 is 1231651504141.

The square root of 1414051561321 is 1189139.

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

It can be written as a sum of positive squares in 4 ways, for example, as 968580747225 + 445470814096 = 984165^2 + 667436^2 .

It is not a de Polignac number, because 1414051561321 - 2¹³ = 1414051553129 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1414051561301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2139260731 + ... + 2139261391.

Almost surely, 2^{1414051561321} is an apocalyptic number.

1414051561321 is the 1189139-th square number.

1414051561321 is the 594570-th centered octagonal number.

It is an amenable number.

1414051561321 is a deficient number, since it is larger than the sum of its proper divisors (239792949596).

1414051561321 is an frugal number, since it uses more digits than its factorization.

1414051561321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 1414051561321 in words is "one trillion, four hundred fourteen billion, fifty-one million, five hundred sixty-one thousand, three hundred twenty-one".