401205235050000 has 720 divisors, whose sum is σ = 1456124633308800. Its totient is φ = 106935603840000.

The previous prime is 401205235049987. The next prime is 401205235050007. The reversal of 401205235050000 is 50532502104.

It is a happy number.

401205235050000 is a `hidden beast` number, since 4 + 0 + 120 + 5 + 2 + 35 + 0 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401205235050007) 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 143 ways as a sum of consecutive naturals, for example, 29074943101 + ... + 29074956899.

It is an arithmetic number, because the mean of its divisors is an integer number (2022395324040).

Almost surely, 2^{401205235050000} is an apocalyptic number.

401205235050000 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 401205235050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728062316654400).

401205235050000 is an abundant number, since it is smaller than the sum of its proper divisors (1054919398258800).

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

401205235050000 is an equidigital number, since it uses as much as digits as its factorization.

401205235050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16202 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 401205235050000 its reverse (50532502104), we get a palindrome (401255767552104).

The spelling of 401205235050000 in words is "four hundred one trillion, two hundred five billion, two hundred thirty-five million, fifty thousand".