401111811072 has 396 divisors, whose sum is σ = 1426575793500. Its totient is φ = 107859935232.

The previous prime is 401111811013. The next prime is 401111811101. The reversal of 401111811072 is 270118111104.

It is a happy number.

401111811072 is a `hidden beast` number, since 401 + 1 + 1 + 181 + 10 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120703435776 + 280408375296 = 347424^2 + 529536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7650804 + ... + 7703052.

It is an arithmetic number, because the mean of its divisors is an integer number (3602464125).

Almost surely, 2^401111811072 is an apocalyptic number.

401111811072 is a gapful number since it is divisible by the number (42) 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 401111811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713287896750).

401111811072 is an abundant number, since it is smaller than the sum of its proper divisors (1025463982428).

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

401111811072 is a wasteful number, since it uses less digits than its factorization.

401111811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52306 (or 52278 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

Adding to 401111811072 its reverse (270118111104), we get a palindrome (671229922176).

The spelling of 401111811072 in words is "four hundred one billion, one hundred eleven million, eight hundred eleven thousand, seventy-two".