1086229440 has 336 divisors, whose sum is σ = 3955267680. Its totient is φ = 283668480.

The previous prime is 1086229409. The next prime is 1086229453. The reversal of 1086229440 is 449226801.

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 = 1086229395 and 1086229404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4743246 + ... + 4743474.

It is an arithmetic number, because the mean of its divisors is an integer number (11771630).

Almost surely, 2^1086229440 is an apocalyptic number.

1086229440 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 1086229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977633840).

1086229440 is an abundant number, since it is smaller than the sum of its proper divisors (2869038240).

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

1086229440 is an equidigital number, since it uses as much as digits as its factorization.

1086229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1086229440 is about 32957.9950846528. The cubic root of 1086229440 is about 1027.9544156585.

The spelling of 1086229440 in words is "one billion, eighty-six million, two hundred twenty-nine thousand, four hundred forty".