1081610906400 has 1152 divisors, whose sum is σ = 4189231872000. Its totient is φ = 268838092800.

The previous prime is 1081610906357. The next prime is 1081610906413. The reversal of 1081610906400 is 46090161801.

It is a happy number.

1081610906400 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 6 + 1 + 0 + 9 + 0 + 640 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 3691504654 + ... + 3691504946.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486000).

Almost surely, 2^{1081610906400} is an apocalyptic number.

1081610906400 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 1081610906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094615936000).

1081610906400 is an abundant number, since it is smaller than the sum of its proper divisors (3107620965600).

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

1081610906400 is a wasteful number, since it uses less digits than its factorization.

1081610906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1081610906400 in words is "one trillion, eighty-one billion, six hundred ten million, nine hundred six thousand, four hundred".