10027120417440 has 576 divisors, whose sum is σ = 38615837460480. Its totient is φ = 2176476825600.

The previous prime is 10027120417439. The next prime is 10027120417451. The reversal of 10027120417440 is 4471402172001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75126765 + ... + 75260115.

It is an arithmetic number, because the mean of its divisors is an integer number (67041384480).

Almost surely, 2^{10027120417440} is an apocalyptic number.

10027120417440 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 10027120417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307918730240).

10027120417440 is an abundant number, since it is smaller than the sum of its proper divisors (28588717043040).

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

10027120417440 is a wasteful number, since it uses less digits than its factorization.

10027120417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133545 (or 133530 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 10027120417440 its reverse (4471402172001), we get a palindrome (14498522589441).

The spelling of 10027120417440 in words is "ten trillion, twenty-seven billion, one hundred twenty million, four hundred seventeen thousand, four hundred forty".