19800127440 has 360 divisors, whose sum is σ = 69208382880. Its totient is φ = 5072288256.

The previous prime is 19800127439. The next prime is 19800127453. The reversal of 19800127440 is 4472100891.

19800127440 is a `hidden beast` number, since 1 + 98 + 0 + 0 + 127 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 19800127395 and 19800127404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142446891 + ... + 142447029.

It is an arithmetic number, because the mean of its divisors is an integer number (192245508).

Almost surely, 2^19800127440 is an apocalyptic number.

19800127440 is a gapful number since it is divisible by the number (10) 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 19800127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34604191440).

19800127440 is an abundant number, since it is smaller than the sum of its proper divisors (49408255440).

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

19800127440 is a wasteful number, since it uses less digits than its factorization.

19800127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 19800127440 in words is "nineteen billion, eight hundred million, one hundred twenty-seven thousand, four hundred forty".