361404014401 has 8 divisors (see below), whose sum is σ = 364059374120. Its totient is φ = 358758021888.

The previous prime is 361404014393. The next prime is 361404014429. The reversal of 361404014401 is 104410404163.

It can be written as a sum of positive squares in 4 ways, for example, as 119630207376 + 241773807025 = 345876^2 + 491705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 361404014401 - 2³ = 361404014393 is a prime.

It is a super-2 number, since 2×361404014401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 361404014401.

It is not an unprimeable number, because it can be changed into a prime (361404014471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2264346 + ... + 2418691.

It is an arithmetic number, because the mean of its divisors is an integer number (45507421765).

Almost surely, 2^361404014401 is an apocalyptic number.

It is an amenable number.

361404014401 is a deficient number, since it is larger than the sum of its proper divisors (2655359719).

361404014401 is a wasteful number, since it uses less digits than its factorization.

361404014401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683603.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 361404014401 its reverse (104410404163), we get a palindrome (465814418564).

The spelling of 361404014401 in words is "three hundred sixty-one billion, four hundred four million, fourteen thousand, four hundred one".