404298579342672 has 240 divisors, whose sum is σ = 1349548269410432. Its totient is φ = 114778121402880.

The previous prime is 404298579342583. The next prime is 404298579342673. The reversal of 404298579342672 is 276243975892404.

404298579342672 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 9 + 8 + 579 + 3 + 42 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 404298579342672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404298579342673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43036579 + ... + 51582402.

Almost surely, 2^{404298579342672} is an apocalyptic number.

404298579342672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404298579342672 is an abundant number, since it is smaller than the sum of its proper divisors (945249690067760).

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

404298579342672 is a wasteful number, since it uses less digits than its factorization.

404298579342672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94619168 (or 94619150 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 404298579342672 in words is "four hundred four trillion, two hundred ninety-eight billion, five hundred seventy-nine million, three hundred forty-two thousand, six hundred seventy-two".