1881028430400 has 1344 divisors, whose sum is σ = 7912536993792. Its totient is φ = 381108879360.

The previous prime is 1881028430389. The next prime is 1881028430459. The reversal of 1881028430400 is 40348201881.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 880218132 + ... + 880220268.

Almost surely, 2^{1881028430400} is an apocalyptic number.

1881028430400 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 1881028430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956268496896).

1881028430400 is an abundant number, since it is smaller than the sum of its proper divisors (6031508563392).

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

1881028430400 is a wasteful number, since it uses less digits than its factorization.

1881028430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 1881028430400 in words is "one trillion, eight hundred eighty-one billion, twenty-eight million, four hundred thirty thousand, four hundred".