7074009409401 has 135 divisors (see below), whose sum is σ = 11967565315615. Its totient is φ = 4025723433600.

The previous prime is 7074009409393. The next prime is 7074009409403. The reversal of 7074009409401 is 1049049004707.

The square root of 7074009409401 is 2659701.

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

7074009409401 is a `hidden beast` number, since 70 + 7 + 400 + 94 + 0 + 94 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5507446772025 + 1566562637376 = 2346795^2 + 1251624^2 .

It is not a de Polignac number, because 7074009409401 - 2³ = 7074009409393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7074009409403) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16413014656 + ... + 16413015086.

Almost surely, 2^{7074009409401} is an apocalyptic number.

7074009409401 is the 2659701-st square number.

7074009409401 is the 1329851-st centered octagonal number.

It is an amenable number.

7074009409401 is a deficient number, since it is larger than the sum of its proper divisors (4893555906214).

7074009409401 is an frugal number, since it uses more digits than its factorization.

7074009409401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 7074009409401 in words is "seven trillion, seventy-four billion, nine million, four hundred nine thousand, four hundred one".