401341824 has 128 divisors (see below), whose sum is σ = 1275775200. Its totient is φ = 123475968.

The previous prime is 401341823. The next prime is 401341847. The reversal of 401341824 is 428143104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401341824² = 322150519383293952, 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 not an unprimeable number, because it can be changed into a prime (401341823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40462 + ... + 49394.

Almost surely, 2^401341824 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 401341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637887600).

401341824 is an abundant number, since it is smaller than the sum of its proper divisors (874433376).

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

401341824 is a wasteful number, since it uses less digits than its factorization.

401341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8951 counting only the distinct ones).

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

The square root of 401341824 is about 20033.5175144057. The cubic root of 401341824 is about 737.6292671620.

Adding to 401341824 its reverse (428143104), we get a palindrome (829484928).

It can be divided in two parts, 401 and 341824, that added together give a square (342225 = 585²).

The spelling of 401341824 in words is "four hundred one million, three hundred forty-one thousand, eight hundred twenty-four".