406379520001 has 16 divisors (see below), whose sum is σ = 500184486144. Its totient is φ = 321514928064.

The previous prime is 406379519983. The next prime is 406379520007. The reversal of 406379520001 is 100025973604.

It is a cyclic number.

It is not a de Polignac number, because 406379520001 - 2²⁷ = 406245302273 is a prime.

It is a super-3 number, since 3×406379520001³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (406379520007) 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, 1913220 + ... + 2114986.

It is an arithmetic number, because the mean of its divisors is an integer number (31261530384).

Almost surely, 2^406379520001 is an apocalyptic number.

It is an amenable number.

406379520001 is a deficient number, since it is larger than the sum of its proper divisors (93804966143).

406379520001 is a wasteful number, since it uses less digits than its factorization.

406379520001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223920.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 406379520001 in words is "four hundred six billion, three hundred seventy-nine million, five hundred twenty thousand, one".