406101009407 has 24 divisors (see below), whose sum is σ = 445634607600. Its totient is φ = 368778751488.

The previous prime is 406101009343. The next prime is 406101009427. The reversal of 406101009407 is 704900101604.

It is not a de Polignac number, because 406101009407 - 2⁶ = 406101009343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406101009427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22565969 + ... + 22583957.

It is an arithmetic number, because the mean of its divisors is an integer number (18568108650).

Almost surely, 2^406101009407 is an apocalyptic number.

406101009407 is a deficient number, since it is larger than the sum of its proper divisors (39533598193).

406101009407 is a wasteful number, since it uses less digits than its factorization.

406101009407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19643 (or 19614 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 406101009407 in words is "four hundred six billion, one hundred one million, nine thousand, four hundred seven".