1442311066700 has 144 divisors (see below), whose sum is σ = 3666426000384. Its totient is φ = 482148979200.

The previous prime is 1442311066673. The next prime is 1442311066739. The reversal of 1442311066700 is 76601132441.

It is a super-3 number, since 3×1442311066700³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49435517 + ... + 49464683.

Almost surely, 2^{1442311066700} is an apocalyptic number.

1442311066700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442311066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833213000192).

1442311066700 is an abundant number, since it is smaller than the sum of its proper divisors (2224114933684).

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

1442311066700 is a wasteful number, since it uses less digits than its factorization.

1442311066700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30952 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 1442311066700 in words is "one trillion, four hundred forty-two billion, three hundred eleven million, sixty-six thousand, seven hundred".