406783697940 has 72 divisors (see below), whose sum is σ = 1306493533800. Its totient is φ = 102094731264.

The previous prime is 406783697917. The next prime is 406783697941. The reversal of 406783697940 is 49796387604.

406783697940 is a `hidden beast` number, since 406 + 7 + 83 + 69 + 7 + 94 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222876521604 + 183907176336 = 472098^2 + 428844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406783697941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66464865 + ... + 66470984.

It is an arithmetic number, because the mean of its divisors is an integer number (18145743525).

Almost surely, 2^406783697940 is an apocalyptic number.

It is an amenable number.

406783697940 is an abundant number, since it is smaller than the sum of its proper divisors (899709835860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406783697940 is a wasteful number, since it uses less digits than its factorization.

406783697940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132935881 (or 132935876 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 406783697940 in words is "four hundred six billion, seven hundred eighty-three million, six hundred ninety-seven thousand, nine hundred forty".