7407407401 has 2 divisors, whose sum is σ = 7407407402. Its totient is φ = 7407407400.

The previous prime is 7407407383. The next prime is 7407407417. The reversal of 7407407401 is 1047047047.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6444236176 + 963171225 = 80276^2 + 31035^2 .

It is a cyclic number.

It is not a de Polignac number, because 7407407401 - 2⁵ = 7407407369 is a prime.

It is not a weakly prime, because it can be changed into another prime (7407407471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3703703700 + 3703703701.

It is an arithmetic number, because the mean of its divisors is an integer number (3703703701).

Almost surely, 2^7407407401 is an apocalyptic number.

It is an amenable number.

7407407401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7407407401 is an equidigital number, since it uses as much as digits as its factorization.

7407407401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21952, while the sum is 34.

The square root of 7407407401 is about 86066.2965451634. The cubic root of 7407407401 is about 1949.3451582465.

The spelling of 7407407401 in words is "seven billion, four hundred seven million, four hundred seven thousand, four hundred one".