20742271344 has 200 divisors, whose sum is σ = 62273201760. Its totient is φ = 6657541632.

The previous prime is 20742271307. The next prime is 20742271391. The reversal of 20742271344 is 44317224702.

20742271344 is a `hidden beast` number, since 2 + 0 + 7 + 42 + 271 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20742271299 and 20742271308.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 24316422 + ... + 24317274.

Almost surely, 2^20742271344 is an apocalyptic number.

20742271344 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 20742271344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31136600880).

20742271344 is an abundant number, since it is smaller than the sum of its proper divisors (41530930416).

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

20742271344 is a wasteful number, since it uses less digits than its factorization.

20742271344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 20742271344 in words is "twenty billion, seven hundred forty-two million, two hundred seventy-one thousand, three hundred forty-four".