1282981190400 has 1944 divisors, whose sum is σ = 5837162647680. Its totient is φ = 266429399040.

The previous prime is 1282981190383. The next prime is 1282981190411. The reversal of 1282981190400 is 40911892821.

1282981190400 is a `hidden beast` number, since 1 + 2 + 82 + 9 + 81 + 1 + 90 + 400 = 666.

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

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 2678457361 + ... + 2678457839.

Almost surely, 2^{1282981190400} is an apocalyptic number.

1282981190400 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 1282981190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918581323840).

1282981190400 is an abundant number, since it is smaller than the sum of its proper divisors (4554181457280).

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

1282981190400 is a wasteful number, since it uses less digits than its factorization.

1282981190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1282981190400 in words is "one trillion, two hundred eighty-two billion, nine hundred eighty-one million, one hundred ninety thousand, four hundred".