4127696469000 has 2048 divisors, whose sum is σ = 16746283008000. Its totient is φ = 932746752000.

The previous prime is 4127696468993. The next prime is 4127696469007. The reversal of 4127696469000 is 9646967214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4127696468993) and next prime (4127696469007).

It is a super-2 number, since 2×4127696469000² (a number of 26 digits) contains 22 as substring.

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 (4127696469007) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 32501546937 + ... + 32501547063.

It is an arithmetic number, because the mean of its divisors is an integer number (8176896000).

Almost surely, 2^{4127696469000} is an apocalyptic number.

4127696469000 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 4127696469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373141504000).

4127696469000 is an abundant number, since it is smaller than the sum of its proper divisors (12618586539000).

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

4127696469000 is a wasteful number, since it uses less digits than its factorization.

4127696469000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4127696469000 in words is "four trillion, one hundred twenty-seven billion, six hundred ninety-six million, four hundred sixty-nine thousand".