406567546120 has 64 divisors (see below), whose sum is σ = 929578158000. Its totient is φ = 160006606848.

The previous prime is 406567546057. The next prime is 406567546127. The reversal of 406567546120 is 21645765604.

It can be written as a sum of positive squares in 8 ways, for example, as 351864885124 + 54702660996 = 593182^2 + 233886^2 .

It is not an unprimeable number, because it can be changed into a prime (406567546127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024066 + ... + 1364494.

Almost surely, 2^406567546120 is an apocalyptic number.

406567546120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406567546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464789079000).

406567546120 is an abundant number, since it is smaller than the sum of its proper divisors (523010611880).

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

406567546120 is a wasteful number, since it uses less digits than its factorization.

406567546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340922 (or 340918 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 406567546120 in words is "four hundred six billion, five hundred sixty-seven million, five hundred forty-six thousand, one hundred twenty".