127766008440 has 288 divisors, whose sum is σ = 508457898000. Its totient is φ = 27666551808.

The previous prime is 127766008439. The next prime is 127766008457. The reversal of 127766008440 is 44800667721.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144556 + ... + 525764.

Almost surely, 2^127766008440 is an apocalyptic number.

127766008440 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 127766008440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254228949000).

127766008440 is an abundant number, since it is smaller than the sum of its proper divisors (380691889560).

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

127766008440 is a wasteful number, since it uses less digits than its factorization.

127766008440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381259 (or 381245 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 127766008440 in words is "one hundred twenty-seven billion, seven hundred sixty-six million, eight thousand, four hundred forty".