1987020432144 has 360 divisors, whose sum is σ = 6695143280280. Its totient is φ = 547164119040.

The previous prime is 1987020432143. The next prime is 1987020432179. The reversal of 1987020432144 is 4412340207891.

1987020432144 is a `hidden beast` number, since 1 + 9 + 8 + 70 + 2 + 0 + 432 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 815430672144 + 1171589760000 = 903012^2 + 1082400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1987020432144.

It is not an unprimeable number, because it can be changed into a prime (1987020432143) by changing a digit.

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, 8474374 + ... + 8705690.

It is an arithmetic number, because the mean of its divisors is an integer number (18597620223).

Almost surely, 2^{1987020432144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1987020432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347571640140).

1987020432144 is an abundant number, since it is smaller than the sum of its proper divisors (4708122848136).

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

1987020432144 is a wasteful number, since it uses less digits than its factorization.

1987020432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231399 (or 231379 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1987020432144 in words is "one trillion, nine hundred eighty-seven billion, twenty million, four hundred thirty-two thousand, one hundred forty-four".