8285954040 has 768 divisors, whose sum is σ = 35223552000. Its totient is φ = 1642291200.

The previous prime is 8285953981. The next prime is 8285954063. The reversal of 8285954040 is 404595828.

8285954040 is a `hidden beast` number, since 82 + 85 + 95 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41637861 + ... + 41638059.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 2^8285954040 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 8285954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776000).

8285954040 is an abundant number, since it is smaller than the sum of its proper divisors (26937597960).

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

8285954040 is a wasteful number, since it uses less digits than its factorization.

8285954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8285954040 is about 91027.2159301821. The cubic root of 8285954040 is about 2023.5510879043.

The spelling of 8285954040 in words is "eight billion, two hundred eighty-five million, nine hundred fifty-four thousand, forty".