42041401600 has 243 divisors, whose sum is σ = 114871946119. Its totient is φ = 15222169600.

The previous prime is 42041401583. The next prime is 42041401673. The reversal of 42041401600 is 610414024.

The square root of 42041401600 is 205040.

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 8279544064 + 33761857536 = 90992^2 + 183744^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 180435084 + ... + 180435316.

Almost surely, 2^42041401600 is an apocalyptic number.

42041401600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42041401600 is the 205040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42041401600

42041401600 is an abundant number, since it is smaller than the sum of its proper divisors (72830544519).

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

42041401600 is an equidigital number, since it uses as much as digits as its factorization.

42041401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42041401600 its reverse (610414024), we get a palindrome (42651815624).

The spelling of 42041401600 in words is "forty-two billion, forty-one million, four hundred one thousand, six hundred".