42411283600 has 135 divisors (see below), whose sum is σ = 118609350201. Its totient is φ = 14531126400.

The previous prime is 42411283553. The next prime is 42411283601. The reversal of 42411283600 is 638211424.

The square root of 42411283600 is 205940.

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

It can be written as a sum of positive squares in only one way, i.e., 15268062096 + 27143221504 = 123564^2 + 164752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42411283601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28830865 + ... + 28832335.

Almost surely, 2^42411283600 is an apocalyptic number.

42411283600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42411283600 is the 205940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411283600

42411283600 is an abundant number, since it is smaller than the sum of its proper divisors (76198066601).

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

42411283600 is an equidigital number, since it uses as much as digits as its factorization.

42411283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 42411283600 by its product of nonzero digits (9216), we get a square (390862389657600 = 19770240²).

The spelling of 42411283600 in words is "forty-two billion, four hundred eleven million, two hundred eighty-three thousand, six hundred".