127985034240 has 528 divisors, whose sum is σ = 508427637120. Its totient is φ = 29160898560.

The previous prime is 127985034239. The next prime is 127985034253. The reversal of 127985034240 is 42430589721.

127985034240 is a `hidden beast` number, since 12 + 7 + 98 + 503 + 4 + 2 + 40 = 666.

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

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, 199664320 + ... + 199664960.

Almost surely, 2^127985034240 is an apocalyptic number.

127985034240 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 127985034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254213818560).

127985034240 is an abundant number, since it is smaller than the sum of its proper divisors (380442602880).

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

127985034240 is a wasteful number, since it uses less digits than its factorization.

127985034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 127985034240 in words is "one hundred twenty-seven billion, nine hundred eighty-five million, thirty-four thousand, two hundred forty".