1085401844352 has 384 divisors, whose sum is σ = 3677899680000. Its totient is φ = 307092473856.

The previous prime is 1085401844339. The next prime is 1085401844353. The reversal of 1085401844352 is 2534481045801.

1085401844352 is a `hidden beast` number, since 1 + 0 + 8 + 540 + 18 + 4 + 43 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1085401844298 and 1085401844307.

It is not an unprimeable number, because it can be changed into a prime (1085401844353) 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 47 ways as a sum of consecutive naturals, for example, 40685674 + ... + 40712342.

It is an arithmetic number, because the mean of its divisors is an integer number (9577863750).

Almost surely, 2^{1085401844352} is an apocalyptic number.

1085401844352 is a gapful number since it is divisible by the number (12) 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 1085401844352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838949840000).

1085401844352 is an abundant number, since it is smaller than the sum of its proper divisors (2592497835648).

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

1085401844352 is a wasteful number, since it uses less digits than its factorization.

1085401844352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26813 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1085401844352 in words is "one trillion, eighty-five billion, four hundred one million, eight hundred forty-four thousand, three hundred fifty-two".