1081056412800 has 1536 divisors, whose sum is σ = 4895686656000. Its totient is φ = 226861793280.

The previous prime is 1081056412759. The next prime is 1081056412801. The reversal of 1081056412800 is 82146501801.

1081056412800 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 0 + 5 + 641 + 2 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1081056412801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2822601409 + ... + 2822601791.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296000).

Almost surely, 2^{1081056412800} is an apocalyptic number.

1081056412800 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 1081056412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447843328000).

1081056412800 is an abundant number, since it is smaller than the sum of its proper divisors (3814630243200).

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

1081056412800 is a wasteful number, since it uses less digits than its factorization.

1081056412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

It can be divided in two parts, 1081056 and 412800, that added together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 1081056412800 in words is "one trillion, eighty-one billion, fifty-six million, four hundred twelve thousand, eight hundred".