407083728441 has 16 divisors (see below), whose sum is σ = 618914628864. Its totient is φ = 235777000704.

The previous prime is 407083728433. The next prime is 407083728461. The reversal of 407083728441 is 144827380704.

407083728441 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 407083728441 - 2³ = 407083728433 is a prime.

It is a super-2 number, since 2×407083728441² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407083728421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307000641 + ... + 307001966.

It is an arithmetic number, because the mean of its divisors is an integer number (38682164304).

Almost surely, 2^407083728441 is an apocalyptic number.

It is an amenable number.

407083728441 is a deficient number, since it is larger than the sum of its proper divisors (211830900423).

407083728441 is a wasteful number, since it uses less digits than its factorization.

407083728441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614002640.

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 407083728441 in words is "four hundred seven billion, eighty-three million, seven hundred twenty-eight thousand, four hundred forty-one".