401622144 has 384 divisors, whose sum is σ = 1442949120. Its totient is φ = 96092160.

The previous prime is 401622139. The next prime is 401622149. The reversal of 401622144 is 441226104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (401622139) and next prime (401622149).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×401622144² = 322600693102313472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401622149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8545129 + ... + 8545175.

It is an arithmetic number, because the mean of its divisors is an integer number (3757680).

Almost surely, 2^401622144 is an apocalyptic number.

401622144 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 401622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721474560).

401622144 is an abundant number, since it is smaller than the sum of its proper divisors (1041326976).

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

401622144 is a wasteful number, since it uses less digits than its factorization.

401622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 401622144 is about 20040.5125682953. The cubic root of 401622144 is about 737.8009612990.

Adding to 401622144 its reverse (441226104), we get a palindrome (842848248).

The spelling of 401622144 in words is "four hundred one million, six hundred twenty-two thousand, one hundred forty-four".