407642197402801 has 9 divisors (see below), whose sum is σ = 411489723350251. Its totient is φ = 403830317084152.

The previous prime is 407642197402747. The next prime is 407642197402859. The reversal of 407642197402801 is 108204791246704.

The square root of 407642197402801 is 20190151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 321120128030625 + 86522069372176 = 17919825^2 + 9301724^2 .

It is not a de Polignac number, because 407642197402801 - 2⁷ = 407642197402673 is a prime.

It is a super-2 number, since 2×407642197402801² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407642197402871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2160251811 + ... + 2160440503.

Almost surely, 2^{407642197402801} is an apocalyptic number.

407642197402801 is the 20190151-st square number.

407642197402801 is the 10095076-th centered octagonal number.

It is an amenable number.

407642197402801 is a deficient number, since it is larger than the sum of its proper divisors (3847525947450).

407642197402801 is an frugal number, since it uses more digits than its factorization.

407642197402801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377600 (or 188800 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 407642197402801 in words is "four hundred seven trillion, six hundred forty-two billion, one hundred ninety-seven million, four hundred two thousand, eight hundred one".