42998169600 has 513 divisors, whose sum is σ = 159944759377. Its totient is φ = 11466178560.

The previous prime is 42998169569. The next prime is 42998169601. The reversal of 42998169600 is 696189924.

The square root of 42998169600 is 207360.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (4!)³ ⋅ 3!.

42998169600 is a `hidden beast` number, since 4 + 29 + 9 + 8 + 1 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15479341056 + 27518828544 = 124416^2 + 165888^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (42998169601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8599633918 + ... + 8599633922.

Almost surely, 2^42998169600 is an apocalyptic number.

42998169600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42998169600 is the 207360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42998169600

42998169600 is an abundant number, since it is smaller than the sum of its proper divisors (116946589777).

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

42998169600 is an frugal number, since it uses more digits than its factorization.

42998169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

42998169600 divided by its product of nonzero digits (1679616) gives a square (25600 = 160²).

The spelling of 42998169600 in words is "forty-two billion, nine hundred ninety-eight million, one hundred sixty-nine thousand, six hundred".