401441088 has 56 divisors (see below), whose sum is σ = 1071603648. Its totient is φ = 132622336.

The previous prime is 401441081. The next prime is 401441093. The reversal of 401441088 is 880144104.

It is a super-2 number, since 2×401441088² = 322309894269247488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401441081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12445 + ... + 30947.

Almost surely, 2^401441088 is an apocalyptic number.

401441088 is a gapful number since it is divisible by the number (48) 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 401441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535801824).

401441088 is an abundant number, since it is smaller than the sum of its proper divisors (670162560).

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

401441088 is a wasteful number, since it uses less digits than its factorization.

401441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631 (or 18621 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 401441088 is about 20035.9948093425. The cubic root of 401441088 is about 737.6900748422.

The spelling of 401441088 in words is "four hundred one million, four hundred forty-one thousand, eighty-eight".