4127647332132 has 384 divisors, whose sum is σ = 11895206400000. Its totient is φ = 1231915474944.

The previous prime is 4127647332121. The next prime is 4127647332143. The reversal of 4127647332132 is 2312337467214.

4127647332132 is a `hidden beast` number, since 4 + 1 + 276 + 47 + 332 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4127647332121) and next prime (4127647332143).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2309818543 + ... + 2309820329.

It is an arithmetic number, because the mean of its divisors is an integer number (30977100000).

Almost surely, 2^{4127647332132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127647332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947603200000).

4127647332132 is an abundant number, since it is smaller than the sum of its proper divisors (7767559067868).

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

4127647332132 is a wasteful number, since it uses less digits than its factorization.

4127647332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2392 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 4127647332132 in words is "four trillion, one hundred twenty-seven billion, six hundred forty-seven million, three hundred thirty-two thousand, one hundred thirty-two".