1081413632000 has 512 divisors, whose sum is σ = 3036612983040. Its totient is φ = 381498163200.

The previous prime is 1081413631999. The next prime is 1081413632003. The reversal of 1081413632000 is 2363141801.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (1081413632003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224703559 + ... + 1224704441.

Almost surely, 2^{1081413632000} is an apocalyptic number.

1081413632000 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 1081413632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518306491520).

1081413632000 is an abundant number, since it is smaller than the sum of its proper divisors (1955199351040).

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

1081413632000 is an frugal number, since it uses more digits than its factorization.

1081413632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 1081413632000 its reverse (2363141801), we get a palindrome (1083776773801).

The spelling of 1081413632000 in words is "one trillion, eighty-one billion, four hundred thirteen million, six hundred thirty-two thousand".