401346144 has 48 divisors (see below), whose sum is σ = 1170595440. Its totient is φ = 133781760.

The previous prime is 401346137. The next prime is 401346163. The reversal of 401346144 is 441643104.

401346144 is a `hidden beast` number, since 40 + 1 + 3 + 4 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401346144² = 322157454607337472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231397 + ... + 233124.

It is an arithmetic number, because the mean of its divisors is an integer number (24387405).

Almost surely, 2^401346144 is an apocalyptic number.

It is an amenable number.

401346144 is an abundant number, since it is smaller than the sum of its proper divisors (769249296).

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

401346144 is a wasteful number, since it uses less digits than its factorization.

401346144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464540 (or 464526 counting only the distinct ones).

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

The square root of 401346144 is about 20033.6253334238. The cubic root of 401346144 is about 737.6319137397.

Adding to 401346144 its reverse (441643104), we get a palindrome (842989248).

The spelling of 401346144 in words is "four hundred one million, three hundred forty-six thousand, one hundred forty-four".