20311015441440 has 48 divisors (see below), whose sum is σ = 63979698642048. Its totient is φ = 5416270784256.

The previous prime is 20311015441439. The next prime is 20311015441477. The reversal of 20311015441440 is 4414451011302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20311015441398 and 20311015441407.

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 7 ways as a sum of consecutive naturals, for example, 21157307272 + ... + 21157308231.

It is an arithmetic number, because the mean of its divisors is an integer number (1332910388376).

Almost surely, 2^{20311015441440} is an apocalyptic number.

20311015441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311015441440 is an abundant number, since it is smaller than the sum of its proper divisors (43668683200608).

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

20311015441440 is a wasteful number, since it uses less digits than its factorization.

20311015441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42314615521 (or 42314615513 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 20311015441440 its reverse (4414451011302), we get a palindrome (24725466452742).

The spelling of 20311015441440 in words is "twenty trillion, three hundred eleven billion, fifteen million, four hundred forty-one thousand, four hundred forty".