407242004337 has 36 divisors (see below), whose sum is σ = 684322629120. Its totient is φ = 232694329392.

The previous prime is 407242004297. The next prime is 407242004339. The reversal of 407242004337 is 733400242704.

407242004337 is a `hidden beast` number, since 407 + 2 + 4 + 200 + 43 + 3 + 7 = 666.

It is not a de Polignac number, because 407242004337 - 2¹⁰ = 407242003313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407242004339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12147364 + ... + 12180842.

It is an arithmetic number, because the mean of its divisors is an integer number (19008961920).

Almost surely, 2^407242004337 is an apocalyptic number.

It is an amenable number.

407242004337 is a deficient number, since it is larger than the sum of its proper divisors (277080624783).

407242004337 is a wasteful number, since it uses less digits than its factorization.

407242004337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61082 (or 61072 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 407242004337 in words is "four hundred seven billion, two hundred forty-two million, four thousand, three hundred thirty-seven".