20024628043464 has 384 divisors, whose sum is σ = 59835908321280. Its totient is φ = 5999654707200.

The previous prime is 20024628043403. The next prime is 20024628043499. The reversal of 20024628043464 is 46434082642002.

20024628043464 is a `hidden beast` number, since 2 + 0 + 0 + 24 + 6 + 280 + 4 + 346 + 4 = 666.

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, 27544192269 + ... + 27544192995.

It is an arithmetic number, because the mean of its divisors is an integer number (155822677920).

Almost surely, 2^{20024628043464} is an apocalyptic number.

20024628043464 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 20024628043464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29917954160640).

20024628043464 is an abundant number, since it is smaller than the sum of its proper divisors (39811280277816).

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

20024628043464 is a wasteful number, since it uses less digits than its factorization.

20024628043464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 20024628043464 in words is "twenty trillion, twenty-four billion, six hundred twenty-eight million, forty-three thousand, four hundred sixty-four".