401133331104 has 48 divisors (see below), whose sum is σ = 1148699996640. Its totient is φ = 121555554560.

The previous prime is 401133331091. The next prime is 401133331127.

401133331104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189929499 + ... + 189931610.

It is an arithmetic number, because the mean of its divisors is an integer number (23931249930).

Almost surely, 2^401133331104 is an apocalyptic number.

401133331104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401133331104 is an abundant number, since it is smaller than the sum of its proper divisors (747566665536).

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

401133331104 is a wasteful number, since it uses less digits than its factorization.

401133331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379861133 (or 379861125 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, 401133 and 331104, that added together give a palindrome (732237).

The spelling of 401133331104 in words is "four hundred one billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred four".