366442804224 has 704 divisors, whose sum is σ = 1340604864000. Its totient is φ = 98495889408.

The previous prime is 366442804181. The next prime is 366442804249. The reversal of 366442804224 is 422408244663.

366442804224 is a `hidden beast` number, since 366 + 4 + 4 + 280 + 4 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 366442804224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161214352 + ... + 161216624.

Almost surely, 2^366442804224 is an apocalyptic number.

366442804224 is a gapful number since it is divisible by the number (34) 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 366442804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670302432000).

366442804224 is an abundant number, since it is smaller than the sum of its proper divisors (974162059776).

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

366442804224 is a wasteful number, since it uses less digits than its factorization.

366442804224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 366442804224 in words is "three hundred sixty-six billion, four hundred forty-two million, eight hundred four thousand, two hundred twenty-four".