1987823426400 has 432 divisors, whose sum is σ = 8432560281600. Its totient is φ = 430445767680.

The previous prime is 1987823426377. The next prime is 1987823426417. The reversal of 1987823426400 is 46243287891.

1987823426400 is a `hidden beast` number, since 1 + 98 + 78 + 23 + 426 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80320 + ... + 1995519.

Almost surely, 2^{1987823426400} is an apocalyptic number.

1987823426400 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 1987823426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216280140800).

1987823426400 is an abundant number, since it is smaller than the sum of its proper divisors (6444736855200).

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

1987823426400 is a wasteful number, since it uses less digits than its factorization.

1987823426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075891 (or 2075875 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1987823426400 in words is "one trillion, nine hundred eighty-seven billion, eight hundred twenty-three million, four hundred twenty-six thousand, four hundred".