1081761408000 has 2112 divisors, whose sum is σ = 5088384258048. Its totient is φ = 214460006400.

The previous prime is 1081761407869. The next prime is 1081761408029. The reversal of 1081761408000 is 8041671801.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1782143697 + ... + 1782144303.

Almost surely, 2^{1081761408000} is an apocalyptic number.

1081761408000 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 1081761408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544192129024).

1081761408000 is an abundant number, since it is smaller than the sum of its proper divisors (4006622850048).

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

1081761408000 is a wasteful number, since it uses less digits than its factorization.

1081761408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1081761408000 in words is "one trillion, eighty-one billion, seven hundred sixty-one million, four hundred eight thousand".