407395866145 has 16 divisors (see below), whose sum is σ = 502970412240. Its totient is φ = 316550744064.

The previous prime is 407395866131. The next prime is 407395866197. The reversal of 407395866145 is 541668593704.

It can be written as a sum of positive squares in 8 ways, for example, as 605750544 + 406790115601 = 24612^2 + 637801^2 .

It is a cyclic number.

It is not a de Polignac number, because 407395866145 - 2¹⁷ = 407395735073 is a prime.

It is a super-3 number, since 3×407395866145³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 407395866145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829832 + ... + 2040361.

It is an arithmetic number, because the mean of its divisors is an integer number (31435650765).

Almost surely, 2^407395866145 is an apocalyptic number.

It is an amenable number.

407395866145 is a deficient number, since it is larger than the sum of its proper divisors (95574546095).

407395866145 is a wasteful number, since it uses less digits than its factorization.

407395866145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870804.

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 407395866145 in words is "four hundred seven billion, three hundred ninety-five million, eight hundred sixty-six thousand, one hundred forty-five".