10128095677440 has 1408 divisors, whose sum is σ = 40221470903040. Its totient is φ = 2430829854720.

The previous prime is 10128095677417. The next prime is 10128095677463. The reversal of 10128095677440 is 4477659082101.

10128095677440 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 0 + 9 + 567 + 74 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10128095677417) and next prime (10128095677463).

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

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, 5968234672 + ... + 5968236368.

Almost surely, 2^{10128095677440} is an apocalyptic number.

10128095677440 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 10128095677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110735451520).

10128095677440 is an abundant number, since it is smaller than the sum of its proper divisors (30093375225600).

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

10128095677440 is an equidigital number, since it uses as much as digits as its factorization.

10128095677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10128095677440 in words is "ten trillion, one hundred twenty-eight billion, ninety-five million, six hundred seventy-seven thousand, four hundred forty".