127444642000 has 80 divisors (see below), whose sum is σ = 331865915472. Its totient is φ = 47056473600.

The previous prime is 127444641997. The next prime is 127444642021. The reversal of 127444642000 is 246444721.

It can be written as a sum of positive squares in 8 ways, for example, as 97471337616 + 29973304384 = 312204^2 + 173128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424859 + ... + 2476858.

Almost surely, 2^127444642000 is an apocalyptic number.

127444642000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127444642000 is an abundant number, since it is smaller than the sum of its proper divisors (204421273472).

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

127444642000 is a wasteful number, since it uses less digits than its factorization.

127444642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901753 (or 4901737 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 127444642000 in words is "one hundred twenty-seven billion, four hundred forty-four million, six hundred forty-two thousand".