20414355504144 has 80 divisors (see below), whose sum is σ = 63443109857280. Its totient is φ = 5525690209920.

The previous prime is 20414355504133. The next prime is 20414355504161. The reversal of 20414355504144 is 44140555341402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20414355504096 and 20414355504105.

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, 1598862312 + ... + 1598875079.

It is an arithmetic number, because the mean of its divisors is an integer number (793038873216).

Almost surely, 2^{20414355504144} is an apocalyptic number.

20414355504144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20414355504144 is an abundant number, since it is smaller than the sum of its proper divisors (43028754353136).

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

20414355504144 is a wasteful number, since it uses less digits than its factorization.

20414355504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197737428 (or 3197737422 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 20414355504144 in words is "twenty trillion, four hundred fourteen billion, three hundred fifty-five million, five hundred four thousand, one hundred forty-four".