42231282073600 has 153 divisors (see below), whose sum is σ = 104753413423407. Its totient is φ = 16889185566720.

The previous prime is 42231282073571. The next prime is 42231282073621. The reversal of 42231282073600 is 637028213224.

The square root of 42231282073600 is 6498560.

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 8829170417664 + 33402111655936 = 2971392^2 + 5779456^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8318154262 + ... + 8318159338.

Almost surely, 2^{42231282073600} is an apocalyptic number.

42231282073600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42231282073600 is the 6498560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231282073600

42231282073600 is an abundant number, since it is smaller than the sum of its proper divisors (62522131349807).

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

42231282073600 is an frugal number, since it uses more digits than its factorization.

42231282073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 42231282073600 in words is "forty-two trillion, two hundred thirty-one billion, two hundred eighty-two million, seventy-three thousand, six hundred".