401281344 has 112 divisors (see below), whose sum is σ = 1187135040. Its totient is φ = 132917760.

The previous prime is 401281339. The next prime is 401281399. The reversal of 401281344 is 443182104.

401281344 is a `hidden beast` number, since 40 + 1 + 281 + 344 = 666.

It is a super-2 number, since 2×401281344² = 322053434084892672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312127 + ... + 313409.

It is an arithmetic number, because the mean of its divisors is an integer number (10599420).

Almost surely, 2^401281344 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 401281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593567520).

401281344 is an abundant number, since it is smaller than the sum of its proper divisors (785853696).

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

401281344 is a wasteful number, since it uses less digits than its factorization.

401281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 401281344 is about 20032.0079872189. The cubic root of 401281344 is about 737.5922130795.

The spelling of 401281344 in words is "four hundred one million, two hundred eighty-one thousand, three hundred forty-four".