1616400331 has 24 divisors (see below), whose sum is σ = 2004532224. Its totient is φ = 1276236000.

The previous prime is 1616400323. The next prime is 1616400377. The reversal of 1616400331 is 1330046161.

It is a happy number.

It is not a de Polignac number, because 1616400331 - 2³ = 1616400323 is a prime.

It is a super-2 number, since 2×1616400331² = 5225500060113819122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1616400296 and 1616400305.

It is not an unprimeable number, because it can be changed into a prime (1616400301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716956 + ... + 719206.

It is an arithmetic number, because the mean of its divisors is an integer number (83522176).

Almost surely, 2^1616400331 is an apocalyptic number.

1616400331 is a deficient number, since it is larger than the sum of its proper divisors (388131893).

1616400331 is a wasteful number, since it uses less digits than its factorization.

1616400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1616400331 is about 40204.4814790590. The cubic root of 1616400331 is about 1173.5897566520.

Adding to 1616400331 its reverse (1330046161), we get a palindrome (2946446492).

The spelling of 1616400331 in words is "one billion, six hundred sixteen million, four hundred thousand, three hundred thirty-one".