2040311554464 has 192 divisors, whose sum is σ = 5668526223360. Its totient is φ = 640792166400.

The previous prime is 2040311554459. The next prime is 2040311554507. The reversal of 2040311554464 is 4644551130402.

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 31 ways as a sum of consecutive naturals, for example, 590195424 + ... + 590198880.

It is an arithmetic number, because the mean of its divisors is an integer number (29523574080).

Almost surely, 2^{2040311554464} is an apocalyptic number.

2040311554464 is a gapful number since it is divisible by the number (24) 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 2040311554464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834263111680).

2040311554464 is an abundant number, since it is smaller than the sum of its proper divisors (3628214668896).

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

2040311554464 is a wasteful number, since it uses less digits than its factorization.

2040311554464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 2040311554464 its reverse (4644551130402), we get a palindrome (6684862684866).

The spelling of 2040311554464 in words is "two trillion, forty billion, three hundred eleven million, five hundred fifty-four thousand, four hundred sixty-four".