42419521600 has 189 divisors, whose sum is σ = 110569278861. Its totient is φ = 16015449600.

The previous prime is 42419521579. The next prime is 42419521603. The reversal of 42419521600 is 612591424.

The square root of 42419521600 is 205960.

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., 15271027776 + 27148493824 = 123576^2 + 164768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42419521603) 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, 156529465 + ... + 156529735.

Almost surely, 2^42419521600 is an apocalyptic number.

42419521600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42419521600 is the 205960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42419521600

42419521600 is an abundant number, since it is smaller than the sum of its proper divisors (68149757261).

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

42419521600 is an equidigital number, since it uses as much as digits as its factorization.

42419521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 42419521600 in words is "forty-two billion, four hundred nineteen million, five hundred twenty-one thousand, six hundred".