20035142422944 has 96 divisors (see below), whose sum is σ = 57401506552320. Its totient is φ = 6068277062400.

The previous prime is 20035142422931. The next prime is 20035142422973. The reversal of 20035142422944 is 44922424153002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×20035142422944³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20035142422896 and 20035142422905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499262 + ... + 6805629.

It is an arithmetic number, because the mean of its divisors is an integer number (597932359920).

Almost surely, 2^{20035142422944} is an apocalyptic number.

20035142422944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20035142422944 is an abundant number, since it is smaller than the sum of its proper divisors (37366364129376).

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

20035142422944 is a wasteful number, since it uses less digits than its factorization.

20035142422944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306954 (or 9306946 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 20035142422944 its reverse (44922424153002), we get a palindrome (64957566575946).

The spelling of 20035142422944 in words is "twenty trillion, thirty-five billion, one hundred forty-two million, four hundred twenty-two thousand, nine hundred forty-four".