854016264040 has 64 divisors (see below), whose sum is σ = 1946948562000. Its totient is φ = 337103923200.

The previous prime is 854016264019. The next prime is 854016264041. The reversal of 854016264040 is 40462610458.

854016264040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 251644696164 + 602371567876 = 501642^2 + 776126^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 854016263984 and 854016264002.

It is not an unprimeable number, because it can be changed into a prime (854016264041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576390 + ... + 2047690.

Almost surely, 2^854016264040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854016264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973474281000).

854016264040 is an abundant number, since it is smaller than the sum of its proper divisors (1092932297960).

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

854016264040 is a wasteful number, since it uses less digits than its factorization.

854016264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471910 (or 471906 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 854016264040 its reverse (40462610458), we get a palindrome (894478874498).

The spelling of 854016264040 in words is "eight hundred fifty-four billion, sixteen million, two hundred sixty-four thousand, forty".