42404177398801 has 9 divisors (see below), whose sum is σ = 42454932772849. Its totient is φ = 42353482654336.

The previous prime is 42404177398787. The next prime is 42404177398819. The reversal of 42404177398801 is 10889377140424.

The square root of 42404177398801 is 6511849.

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

42404177398801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10037180758801 + 32366996640000 = 3168151^2 + 5689200^2 .

It is not a de Polignac number, because 42404177398801 - 2¹⁹ = 42404176874513 is a prime.

It is a super-2 number, since 2×42404177398801² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42404177398831) 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 8 ways as a sum of consecutive naturals, for example, 6205788681 + ... + 6205795513.

Almost surely, 2^{42404177398801} is an apocalyptic number.

42404177398801 is the 6511849-th square number.

42404177398801 is the 3255925-th centered octagonal number.

It is an amenable number.

42404177398801 is a deficient number, since it is larger than the sum of its proper divisors (50755374048).

42404177398801 is an frugal number, since it uses more digits than its factorization.

42404177398801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 42404177398801 in words is "forty-two trillion, four hundred four billion, one hundred seventy-seven million, three hundred ninety-eight thousand, eight hundred one".