4127306711040 has 768 divisors, whose sum is σ = 15028486200000. Its totient is φ = 1086484119552.

The previous prime is 4127306711023. The next prime is 4127306711107. The reversal of 4127306711040 is 401176037214.

4127306711040 is a `hidden beast` number, since 412 + 7 + 30 + 67 + 110 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4127306710986 and 4127306711004.

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, 3304488336 + ... + 3304489584.

Almost surely, 2^{4127306711040} is an apocalyptic number.

4127306711040 is a gapful number since it is divisible by the number (40) 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 4127306711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514243100000).

4127306711040 is an abundant number, since it is smaller than the sum of its proper divisors (10901179488960).

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

4127306711040 is an frugal number, since it uses more digits than its factorization.

4127306711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 4127306711040 in words is "four trillion, one hundred twenty-seven billion, three hundred six million, seven hundred eleven thousand, forty".