1085671401408 has 448 divisors, whose sum is σ = 3531485952000. Its totient is φ = 324322099200.

The previous prime is 1085671401403. The next prime is 1085671401427. The reversal of 1085671401408 is 8041041765801.

1085671401408 is a `hidden beast` number, since 1 + 0 + 8 + 567 + 1 + 40 + 1 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085671401403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729127128 + ... + 729128616.

Almost surely, 2^{1085671401408} is an apocalyptic number.

1085671401408 is a gapful number since it is divisible by the number (18) 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 1085671401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765742976000).

1085671401408 is an abundant number, since it is smaller than the sum of its proper divisors (2445814550592).

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

1085671401408 is a wasteful number, since it uses less digits than its factorization.

1085671401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1085671401408 in words is "one trillion, eighty-five billion, six hundred seventy-one million, four hundred one thousand, four hundred eight".