351400413505401 has 96 divisors (see below), whose sum is σ = 554107618864800. Its totient is φ = 213308389896192.

The previous prime is 351400413505247. The next prime is 351400413505417. The reversal of 351400413505401 is 104505314004153.

351400413505401 is a `hidden beast` number, since 3 + 5 + 1 + 40 + 0 + 41 + 35 + 0 + 540 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 474375185001 + 350926038320400 = 688749^2 + 18733020^2 .

It is not a de Polignac number, because 351400413505401 - 2¹⁴ = 351400413489017 is a prime.

It is a super-2 number, since 2×351400413505401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351400413505501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2644885765 + ... + 2645018621.

It is an arithmetic number, because the mean of its divisors is an integer number (5771954363175).

Almost surely, 2^{351400413505401} is an apocalyptic number.

It is an amenable number.

351400413505401 is a deficient number, since it is larger than the sum of its proper divisors (202707205359399).

351400413505401 is a wasteful number, since it uses less digits than its factorization.

351400413505401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134075 (or 134072 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 351400413505401 its reverse (104505314004153), we get a palindrome (455905727509554).

The spelling of 351400413505401 in words is "three hundred fifty-one trillion, four hundred billion, four hundred thirteen million, five hundred five thousand, four hundred one".