1074015104409 has 27 divisors (see below), whose sum is σ = 1679932998237. Its totient is φ = 660907499616.

The previous prime is 1074015104359. The next prime is 1074015104417. The reversal of 1074015104409 is 9044015104701.

The square root of 1074015104409 is 1036347.

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

1074015104409 is a `hidden beast` number, since 107 + 40 + 1 + 5 + 104 + 409 = 666.

1074015104409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 140627250009 + 933387854400 = 375003^2 + 966120^2 .

It is not a de Polignac number, because 1074015104409 - 2¹¹ = 1074015102361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1074015103409) 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, 40404247 + ... + 40430819.

Almost surely, 2^{1074015104409} is an apocalyptic number.

1074015104409 is the 1036347-th square number.

1074015104409 is the 518174-th centered octagonal number.

It is an amenable number.

1074015104409 is a deficient number, since it is larger than the sum of its proper divisors (605917893828).

1074015104409 is an frugal number, since it uses more digits than its factorization.

1074015104409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53178 (or 26589 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 1074015104409 by its sum of digits (36), we get a square (38664543758724 = 6218082²).

The spelling of 1074015104409 in words is "one trillion, seventy-four billion, fifteen million, one hundred four thousand, four hundred nine".