1880383442400 has 1080 divisors, whose sum is σ = 7473646281024. Its totient is φ = 459542937600.

The previous prime is 1880383442363. The next prime is 1880383442401. The reversal of 1880383442400 is 42443830881.

It is a happy number.

1880383442400 is a `hidden beast` number, since 18 + 80 + 3 + 83 + 442 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880383442401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 725175504 + ... + 725178096.

Almost surely, 2^{1880383442400} is an apocalyptic number.

1880383442400 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 1880383442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736823140512).

1880383442400 is an abundant number, since it is smaller than the sum of its proper divisors (5593262838624).

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

1880383442400 is a wasteful number, since it uses less digits than its factorization.

1880383442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1880383442400 in words is "one trillion, eight hundred eighty billion, three hundred eighty-three million, four hundred forty-two thousand, four hundred".