850856509440 has 900 divisors, whose sum is σ = 3580392005424. Its totient is φ = 186025771008.

The previous prime is 850856509381. The next prime is 850856509457. The reversal of 850856509440 is 44905658058.

850856509440 is a `hidden beast` number, since 8 + 50 + 85 + 6 + 509 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×850856509440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36993761269 + ... + 36993761291.

Almost surely, 2^850856509440 is an apocalyptic number.

850856509440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

850856509440 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850856509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790196002712).

850856509440 is an abundant number, since it is smaller than the sum of its proper divisors (2729535495984).

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

850856509440 is an frugal number, since it uses more digits than its factorization.

850856509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 850856509440 in words is "eight hundred fifty billion, eight hundred fifty-six million, five hundred nine thousand, four hundred forty".