1442641210000 has 75 divisors (see below), whose sum is σ = 3493069456063. Its totient is φ = 577008440000.

The previous prime is 1442641209949. The next prime is 1442641210007. The reversal of 1442641210000 is 121462441.

The square root of 1442641210000 is 1201100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 113103070864 + 1329538139136 = 336308^2 + 1153056^2 .

It is a super-3 number, since 3×1442641210000³ (a number of 37 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1442641210007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 120103995 + ... + 120116005.

Almost surely, 2^{1442641210000} is an apocalyptic number.

1442641210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1442641210000 is the 1201100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442641210000

1442641210000 is an abundant number, since it is smaller than the sum of its proper divisors (2050428246063).

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

1442641210000 is an frugal number, since it uses more digits than its factorization.

1442641210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24050 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 1442641210000 by its sum of digits (25), we get a square (36066030250000 = 6005500²).

1442641210000 divided by its sum of digits (25) gives a square (57705648400 = 240220²).

Adding to 1442641210000 its reverse (121462441), we get a palindrome (1442762672441).

The spelling of 1442641210000 in words is "one trillion, four hundred forty-two billion, six hundred forty-one million, two hundred ten thousand".