342507828401 has 8 divisors (see below), whose sum is σ = 344550999144. Its totient is φ = 340465386240.

The previous prime is 342507828323. The next prime is 342507828407. The reversal of 342507828401 is 104828705243.

It can be written as a sum of positive squares in 4 ways, for example, as 62862524176 + 279645304225 = 250724^2 + 528815^2 .

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 342507828401 - 2²² = 342503634097 is a prime.

It is a super-2 number, since 2×342507828401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342507828407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775835 + ... + 1134431.

It is an arithmetic number, because the mean of its divisors is an integer number (43068874893).

Almost surely, 2^342507828401 is an apocalyptic number.

It is an amenable number.

342507828401 is a deficient number, since it is larger than the sum of its proper divisors (2043170743).

342507828401 is a wasteful number, since it uses less digits than its factorization.

342507828401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364291.

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 342507828401 in words is "three hundred forty-two billion, five hundred seven million, eight hundred twenty-eight thousand, four hundred one".