42822103699600 has 45 divisors (see below), whose sum is σ = 102880418571723. Its totient is φ = 17128789128960.

The previous prime is 42822103699561. The next prime is 42822103699601. The reversal of 42822103699600 is 699630122824.

The square root of 42822103699600 is 6543860.

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 14986096531344 + 27836007168256 = 3871188^2 + 5275984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42822103699601) 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 8 ways as a sum of consecutive naturals, for example, 130713604 + ... + 131040796.

Almost surely, 2^{42822103699600} is an apocalyptic number.

42822103699600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42822103699600 is the 6543860-th square number.

It is an amenable number.

42822103699600 is an abundant number, since it is smaller than the sum of its proper divisors (60058314872123).

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

42822103699600 is an frugal number, since it uses more digits than its factorization.

42822103699600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654404 (or 327200 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 42822103699600 in words is "forty-two trillion, eight hundred twenty-two billion, one hundred three million, six hundred ninety-nine thousand, six hundred".