407914022912 has 108 divisors (see below), whose sum is σ = 897216993855. Its totient is φ = 185270947840.

The previous prime is 407914022863. The next prime is 407914022917. The reversal of 407914022912 is 219220419704.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 203957011456 + 203957011456 = 451616^2 + 451616^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=451616.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 407914022912.

It is not an unprimeable number, because it can be changed into a prime (407914022917) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 317937023 + ... + 317938305.

Almost surely, 2^407914022912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407914022912

407914022912 is an abundant number, since it is smaller than the sum of its proper divisors (489302970943).

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

407914022912 is an frugal number, since it uses more digits than its factorization.

407914022912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 407914022912 in words is "four hundred seven billion, nine hundred fourteen million, twenty-two thousand, nine hundred twelve".