42642250000 has 315 divisors, whose sum is σ = 122204431857. Its totient is φ = 14372400000.

The previous prime is 42642249989. The next prime is 42642250129. The reversal of 42642250000 is 5224624.

The square root of 42642250000 is 206500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 37358704656 + 5283545344 = 193284^2 + 72688^2 .

It is a super-2 number, since 2×42642250000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 722749971 + ... + 722750029.

Almost surely, 2^42642250000 is an apocalyptic number.

42642250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42642250000 is the 206500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42642250000

42642250000 is an abundant number, since it is smaller than the sum of its proper divisors (79562181857).

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

42642250000 is an frugal number, since it uses more digits than its factorization.

42642250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Multiplying 42642250000 by its sum of digits (25), we get a square (1066056250000 = 1032500²).

42642250000 divided by its sum of digits (25) gives a square (1705690000 = 41300²).

Adding to 42642250000 its reverse (5224624), we get a palindrome (42647474624).

The spelling of 42642250000 in words is "forty-two billion, six hundred forty-two million, two hundred fifty thousand".