401144333034400 has 36 divisors (see below), whose sum is σ = 979293603022182. Its totient is φ = 160457733213440.

The previous prime is 401144333034371. The next prime is 401144333034409. The reversal of 401144333034400 is 4430333441104.

It can be written as a sum of positive squares in 3 ways, for example, as 161328508698256 + 239815824336144 = 12701516^2 + 15485988^2 .

It is a super-2 number, since 2×401144333034400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401144333034409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250715207347 + ... + 250715208946.

Almost surely, 2^{401144333034400} is an apocalyptic number.

401144333034400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401144333034400 is an abundant number, since it is smaller than the sum of its proper divisors (578149269987782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401144333034400 is a wasteful number, since it uses less digits than its factorization.

401144333034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501430416313 (or 501430416300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 401144333034400 its reverse (4430333441104), we get a palindrome (405574666475504).

The spelling of 401144333034400 in words is "four hundred one trillion, one hundred forty-four billion, three hundred thirty-three million, thirty-four thousand, four hundred".