401331133104 has 960 divisors, whose sum is σ = 1343594004480. Its totient is φ = 102369484800.

The previous prime is 401331133043. The next prime is 401331133129.

401331133104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401331133104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 3896418717 + ... + 3896418819.

It is an arithmetic number, because the mean of its divisors is an integer number (1399577088).

Almost surely, 2^401331133104 is an apocalyptic number.

401331133104 is a gapful number since it is divisible by the number (44) 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 401331133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671797002240).

401331133104 is an abundant number, since it is smaller than the sum of its proper divisors (942262871376).

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

401331133104 is a wasteful number, since it uses less digits than its factorization.

401331133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 401331 and 133104, that added together give a palindrome (534435).

The spelling of 401331133104 in words is "four hundred one billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred four".