401253320312240 has 80 divisors (see below), whose sum is σ = 1017729007888896. Its totient is φ = 145909627718400.

The previous prime is 401253320312237. The next prime is 401253320312333. The reversal of 401253320312240 is 42213023352104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401253320312240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401253320312197 and 401253320312206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 216093209 + ... + 217942151.

Almost surely, 2^{401253320312240} is an apocalyptic number.

401253320312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401253320312240 is an abundant number, since it is smaller than the sum of its proper divisors (616475687576656).

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

401253320312240 is a wasteful number, since it uses less digits than its factorization.

401253320312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095578 (or 2095572 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 401253320312240 its reverse (42213023352104), we get a palindrome (443466343664344).

The spelling of 401253320312240 in words is "four hundred one trillion, two hundred fifty-three billion, three hundred twenty million, three hundred twelve thousand, two hundred forty".