401433040 has 20 divisors (see below), whose sum is σ = 933332004. Its totient is φ = 160573184.

The previous prime is 401433037. The next prime is 401433073. The reversal of 401433040 is 40334104.

It can be written as a sum of positive squares in 2 ways, for example, as 119596096 + 281836944 = 10936^2 + 16788^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×401433040² = 322296971207283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401432999 and 401433017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2508877 + ... + 2509036.

Almost surely, 2^401433040 is an apocalyptic number.

401433040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401433040 is an abundant number, since it is smaller than the sum of its proper divisors (531898964).

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

401433040 is a wasteful number, since it uses less digits than its factorization.

401433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017926 (or 5017920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 401433040 is about 20035.7939697932. The cubic root of 401433040 is about 737.6851451281.

Adding to 401433040 its reverse (40334104), we get a palindrome (441767144).

The spelling of 401433040 in words is "four hundred one million, four hundred thirty-three thousand, forty".