42493699600 has 135 divisors (see below), whose sum is σ = 112335740391. Its totient is φ = 15435763200.

The previous prime is 42493699561. The next prime is 42493699609. The reversal of 42493699600 is 699639424.

The square root of 42493699600 is 206140.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17458865424 + 25034834176 = 132132^2 + 158224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42493699609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45350332 + ... + 45351268.

Almost surely, 2^42493699600 is an apocalyptic number.

42493699600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42493699600 is the 206140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42493699600

42493699600 is an abundant number, since it is smaller than the sum of its proper divisors (69842040791).

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

42493699600 is an equidigital number, since it uses as much as digits as its factorization.

42493699600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 42493699600 in words is "forty-two billion, four hundred ninety-three million, six hundred ninety-nine thousand, six hundred".