401344121443104 has 288 divisors, whose sum is σ = 1333153868102784. Its totient is φ = 112166515814400.

The previous prime is 401344121443091. The next prime is 401344121443127.

401344121443104 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 4 + 1 + 214 + 431 + 0 + 4 = 666.

401344121443104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401344121443104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5026132 + ... + 28774124.

It is an arithmetic number, because the mean of its divisors is an integer number (4629006486468).

Almost surely, 2^{401344121443104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401344121443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666576934051392).

401344121443104 is an abundant number, since it is smaller than the sum of its proper divisors (931809746659680).

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

401344121443104 is a wasteful number, since it uses less digits than its factorization.

401344121443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23748200 (or 23748189 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 401344121443104 in words is "four hundred one trillion, three hundred forty-four billion, one hundred twenty-one million, four hundred forty-three thousand, one hundred four".