1085095440 has 400 divisors, whose sum is σ = 4431341376. Its totient is φ = 242611200.

The previous prime is 1085095423. The next prime is 1085095457. The reversal of 1085095440 is 445905801.

1085095440 is a `hidden beast` number, since 108 + 5 + 0 + 9 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1085095423) and next prime (1085095457).

It is a super-2 number, since 2×1085095440² = 2354864227817587200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1085095395 and 1085095404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926055 + ... + 927225.

Almost surely, 2^1085095440 is an apocalyptic number.

1085095440 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 1085095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215670688).

1085095440 is an abundant number, since it is smaller than the sum of its proper divisors (3346245936).

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

1085095440 is a wasteful number, since it uses less digits than its factorization.

1085095440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1085095440 is about 32940.7868758474. The cubic root of 1085095440 is about 1027.5965703896.

The spelling of 1085095440 in words is "one billion, eighty-five million, ninety-five thousand, four hundred forty".