414401153393 has 2 divisors, whose sum is σ = 414401153394. Its totient is φ = 414401153392.

The previous prime is 414401153377. The next prime is 414401153449. The reversal of 414401153393 is 393351104414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279599827984 + 134801325409 = 528772^2 + 367153^2 .

It is a cyclic number.

It is not a de Polignac number, because 414401153393 - 2⁴ = 414401153377 is a prime.

It is not a weakly prime, because it can be changed into another prime (414401153303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207200576696 + 207200576697.

It is an arithmetic number, because the mean of its divisors is an integer number (207200576697).

Almost surely, 2^414401153393 is an apocalyptic number.

It is an amenable number.

414401153393 is a deficient number, since it is larger than the sum of its proper divisors (1).

414401153393 is an equidigital number, since it uses as much as digits as its factorization.

414401153393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 414401153393 in words is "four hundred fourteen billion, four hundred one million, one hundred fifty-three thousand, three hundred ninety-three".