1889420944320 has 1344 divisors, whose sum is σ = 8294093144064. Its totient is φ = 384037355520.

The previous prime is 1889420944319. The next prime is 1889420944321. The reversal of 1889420944320 is 234490249881.

It is a happy number.

1889420944320 is a `hidden beast` number, since 1 + 8 + 89 + 42 + 0 + 94 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1889420944319) and next prime (1889420944321).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889420944321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2542961869 + ... + 2542962611.

It is an arithmetic number, because the mean of its divisors is an integer number (6171200256).

Almost surely, 2^{1889420944320} is an apocalyptic number.

1889420944320 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 1889420944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147046572032).

1889420944320 is an abundant number, since it is smaller than the sum of its proper divisors (6404672199744).

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

1889420944320 is a wasteful number, since it uses less digits than its factorization.

1889420944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1889420944320 in words is "one trillion, eight hundred eighty-nine billion, four hundred twenty million, nine hundred forty-four thousand, three hundred twenty".