406293679003680 has 144 divisors (see below), whose sum is σ = 1493129270407320. Its totient is φ = 100010751750144.

The previous prime is 406293679003673. The next prime is 406293679003703. The reversal of 406293679003680 is 86300976392604.

406293679003680 is a `hidden beast` number, since 40 + 6 + 2 + 93 + 67 + 90 + 0 + 368 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130001864170896 + 276291814832784 = 11401836^2 + 16622028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10851842365 + ... + 10851879804.

Almost surely, 2^{406293679003680} is an apocalyptic number.

406293679003680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406293679003680 is an abundant number, since it is smaller than the sum of its proper divisors (1086835591403640).

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

406293679003680 is a wasteful number, since it uses less digits than its factorization.

406293679003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21703722203 (or 21703722192 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 406293679003680 in words is "four hundred six trillion, two hundred ninety-three billion, six hundred seventy-nine million, three thousand, six hundred eighty".