405964042407 has 96 divisors (see below), whose sum is σ = 757855388160. Its totient is φ = 203198688000.

The previous prime is 405964042391. The next prime is 405964042409. The reversal of 405964042407 is 704240469504.

It is not a de Polignac number, because 405964042407 - 2⁴ = 405964042391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405964042409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9847057 + ... + 9888197.

It is an arithmetic number, because the mean of its divisors is an integer number (7894326960).

Almost surely, 2^405964042407 is an apocalyptic number.

405964042407 is a deficient number, since it is larger than the sum of its proper divisors (351891345753).

405964042407 is a wasteful number, since it uses less digits than its factorization.

405964042407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41685 (or 41682 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 405964042407 in words is "four hundred five billion, nine hundred sixty-four million, forty-two thousand, four hundred seven".