4559199649920 has 192 divisors, whose sum is σ = 16168986676440. Its totient is φ = 1182927421440.

The previous prime is 4559199649897. The next prime is 4559199649931. The reversal of 4559199649920 is 299469919554.

4559199649920 is a `hidden beast` number, since 4 + 5 + 591 + 9 + 9 + 6 + 4 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4122426701376 + 436772948544 = 2030376^2 + 660888^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 10483201 + ... + 10909440.

Almost surely, 2^{4559199649920} is an apocalyptic number.

4559199649920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4559199649920 is an abundant number, since it is smaller than the sum of its proper divisors (11609787026520).

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

4559199649920 is a wasteful number, since it uses less digits than its factorization.

4559199649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21392703 (or 21392688 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 4559199649920 in words is "four trillion, five hundred fifty-nine billion, one hundred ninety-nine million, six hundred forty-nine thousand, nine hundred twenty".