414253354401 has 6 divisors (see below), whose sum is σ = 598365956370. Its totient is φ = 276168902928.

The previous prime is 414253354397. The next prime is 414253354421. The reversal of 414253354401 is 104453352414.

414253354401 is a `hidden beast` number, since 4 + 14 + 253 + 354 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 410367078801 + 3886275600 = 640599^2 + 62340^2 .

It is not a de Polignac number, because 414253354401 - 2² = 414253354397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414253354421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23014075236 + ... + 23014075253.

It is an arithmetic number, because the mean of its divisors is an integer number (99727659395).

Almost surely, 2^414253354401 is an apocalyptic number.

It is an amenable number.

414253354401 is a deficient number, since it is larger than the sum of its proper divisors (184112601969).

414253354401 is a wasteful number, since it uses less digits than its factorization.

414253354401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46028150495 (or 46028150492 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 414253354401 in words is "four hundred fourteen billion, two hundred fifty-three million, three hundred fifty-four thousand, four hundred one".