404134401407 has 48 divisors (see below), whose sum is σ = 472789975680. Its totient is φ = 341610696000.

The previous prime is 404134401401. The next prime is 404134401449. The reversal of 404134401407 is 704104431404.

It is not a de Polignac number, because 404134401407 - 2¹² = 404134397311 is a prime.

It is a super-2 number, since 2×404134401407² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404134401401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340466468 + ... + 340467654.

It is an arithmetic number, because the mean of its divisors is an integer number (9849791160).

Almost surely, 2^404134401407 is an apocalyptic number.

404134401407 is a deficient number, since it is larger than the sum of its proper divisors (68655574273).

404134401407 is a wasteful number, since it uses less digits than its factorization.

404134401407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 404134401407 in words is "four hundred four billion, one hundred thirty-four million, four hundred one thousand, four hundred seven".