401210125335320 has 384 divisors, whose sum is σ = 1152595163381760. Its totient is φ = 122861994393600.

The previous prime is 401210125335293. The next prime is 401210125335373. The reversal of 401210125335320 is 23533521012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235518620 + ... + 237216020.

It is an arithmetic number, because the mean of its divisors is an integer number (3001549904640).

Almost surely, 2^{401210125335320} is an apocalyptic number.

401210125335320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401210125335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576297581690880).

401210125335320 is an abundant number, since it is smaller than the sum of its proper divisors (751385038046440).

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

401210125335320 is a wasteful number, since it uses less digits than its factorization.

401210125335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697603 (or 1697582 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 401210125335320 its reverse (23533521012104), we get a palindrome (424743646347424).

The spelling of 401210125335320 in words is "four hundred one trillion, two hundred ten billion, one hundred twenty-five million, three hundred thirty-five thousand, three hundred twenty".