4127217656940 has 192 divisors, whose sum is σ = 14699991936000. Its totient is φ = 941728591872.

The previous prime is 4127217656929. The next prime is 4127217656941. The reversal of 4127217656940 is 496567127214.

4127217656940 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 2 + 1 + 76 + 569 + 4 + 0 = 666.

4127217656940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4127217656941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234911 + ... + 3127209.

It is an arithmetic number, because the mean of its divisors is an integer number (76562458000).

Almost surely, 2^{4127217656940} 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 4127217656940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349995968000).

4127217656940 is an abundant number, since it is smaller than the sum of its proper divisors (10572774279060).

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

4127217656940 is a wasteful number, since it uses less digits than its factorization.

4127217656940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892901 (or 1892893 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4127217656940 in words is "four trillion, one hundred twenty-seven billion, two hundred seventeen million, six hundred fifty-six thousand, nine hundred forty".