416238805753 has 2 divisors, whose sum is σ = 416238805754. Its totient is φ = 416238805752.

The previous prime is 416238805747. The next prime is 416238805771. The reversal of 416238805753 is 357508832614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223660893184 + 192577912569 = 472928^2 + 438837^2 .

It is a cyclic number.

It is not a de Polignac number, because 416238805753 - 2¹³ = 416238797561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416238805753.

It is not a weakly prime, because it can be changed into another prime (416238805153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208119402876 + 208119402877.

It is an arithmetic number, because the mean of its divisors is an integer number (208119402877).

Almost surely, 2^416238805753 is an apocalyptic number.

It is an amenable number.

416238805753 is a deficient number, since it is larger than the sum of its proper divisors (1).

416238805753 is an equidigital number, since it uses as much as digits as its factorization.

416238805753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 416238805753 in words is "four hundred sixteen billion, two hundred thirty-eight million, eight hundred five thousand, seven hundred fifty-three".