7394054078401 has 25 divisors (see below), whose sum is σ = 7938012100601. Its totient is φ = 6887366321664.

The previous prime is 7394054078329. The next prime is 7394054078423. The reversal of 7394054078401 is 1048704504937.

It is a happy number.

The square root of 7394054078401 is 2719201.

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

It can be written as a sum of positive squares in 12 ways, for example, as 5763835838401 + 1630218240000 = 2400799^2 + 1276800^2 .

It is not a de Polignac number, because 7394054078401 - 2⁷ = 7394054078273 is a prime.

It is a super-2 number, since 2×7394054078401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7394054070401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 76227361585 + ... + 76227361681.

Almost surely, 2^{7394054078401} is an apocalyptic number.

7394054078401 is the 2719201-st square number.

7394054078401 is the 1359601-st centered octagonal number.

It is an amenable number.

7394054078401 is a deficient number, since it is larger than the sum of its proper divisors (543958022200).

7394054078401 is an frugal number, since it uses more digits than its factorization.

7394054078401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 7394054078401 in words is "seven trillion, three hundred ninety-four billion, fifty-four million, seventy-eight thousand, four hundred one".