10340132442020 has 192 divisors, whose sum is σ = 23687134248960. Its totient is φ = 3779913984000.

The previous prime is 10340132441971. The next prime is 10340132442041. The reversal of 10340132442020 is 2024423104301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315206021 + ... + 3315209139.

It is an arithmetic number, because the mean of its divisors is an integer number (123370490880).

Almost surely, 2^{10340132442020} is an apocalyptic number.

10340132442020 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 10340132442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843567124480).

10340132442020 is an abundant number, since it is smaller than the sum of its proper divisors (13347001806940).

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

10340132442020 is a wasteful number, since it uses less digits than its factorization.

10340132442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10340132442020 its reverse (2024423104301), we get a palindrome (12364555546321).

The spelling of 10340132442020 in words is "ten trillion, three hundred forty billion, one hundred thirty-two million, four hundred forty-two thousand, twenty".