401361444 has 72 divisors (see below), whose sum is σ = 1108991520. Its totient is φ = 121382400.

The previous prime is 401361437. The next prime is 401361461. The reversal of 401361444 is 444163104.

401361444 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 614 + 44 = 666.

It is a super-2 number, since 2×401361444² = 322182017459530272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367339 + ... + 368429.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 2^401361444 is an apocalyptic number.

401361444 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 401361444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554495760).

401361444 is an abundant number, since it is smaller than the sum of its proper divisors (707630076).

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

401361444 is a wasteful number, since it uses less digits than its factorization.

401361444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 401361444 is about 20034.0071877795. The cubic root of 401361444 is about 737.6412868831.

The spelling of 401361444 in words is "four hundred one million, three hundred sixty-one thousand, four hundred forty-four".