400007007337 has 12 divisors (see below), whose sum is σ = 492685702740. Its totient is φ = 322694727936.

The previous prime is 400007007329. The next prime is 400007007343. The reversal of 400007007337 is 733700700004.

It can be written as a sum of positive squares in 2 ways, for example, as 242382920976 + 157624086361 = 492324^2 + 397019^2 .

It is not a de Polignac number, because 400007007337 - 2³ = 400007007329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400007007299 and 400007007308.

It is not an unprimeable number, because it can be changed into a prime (400007004337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240099412 + ... + 240101077.

It is an arithmetic number, because the mean of its divisors is an integer number (41057141895).

Almost surely, 2^400007007337 is an apocalyptic number.

It is an amenable number.

400007007337 is a deficient number, since it is larger than the sum of its proper divisors (92678695403).

400007007337 is a wasteful number, since it uses less digits than its factorization.

400007007337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480200520 (or 480200513 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 31.

The spelling of 400007007337 in words is "four hundred billion, seven million, seven thousand, three hundred thirty-seven".