127842440 has 128 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 43653120.

The previous prime is 127842401. The next prime is 127842443. The reversal of 127842440 is 44248721.

It is a junction number, because it is equal to n+sod(n) for n = 127842397 and 127842406.

It is not an unprimeable number, because it can be changed into a prime (127842443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548564 + ... + 548796.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175).

Almost surely, 2^127842440 is an apocalyptic number.

127842440 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 127842440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

127842440 is an abundant number, since it is smaller than the sum of its proper divisors (205747960).

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

127842440 is a wasteful number, since it uses less digits than its factorization.

127842440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 127842440 is about 11306.7431208107. The cubic root of 127842440 is about 503.7615505113.

The spelling of 127842440 in words is "one hundred twenty-seven million, eight hundred forty-two thousand, four hundred forty".