401349105144 has 576 divisors, whose sum is σ = 1268007380640. Its totient is φ = 118782443520.

The previous prime is 401349105103. The next prime is 401349105163. The reversal of 401349105144 is 441501943104.

401349105144 is a `hidden beast` number, since 4 + 0 + 134 + 9 + 1 + 0 + 514 + 4 = 666.

It is a super-2 number, since 2×401349105144² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 401349105099 and 401349105108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1665348864 + ... + 1665349104.

Almost surely, 2^401349105144 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 401349105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634003690320).

401349105144 is an abundant number, since it is smaller than the sum of its proper divisors (866658275496).

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

401349105144 is a wasteful number, since it uses less digits than its factorization.

401349105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 401349105144 in words is "four hundred one billion, three hundred forty-nine million, one hundred five thousand, one hundred forty-four".