840040000 has 70 divisors (see below), whose sum is σ = 2083125374. Its totient is φ = 336000000.

The previous prime is 840039997. The next prime is 840040007. The reversal of 840040000 is 40048.

It can be written as a sum of positive squares in 5 ways, for example, as 455566336 + 384473664 = 21344^2 + 19608^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (840040007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 29500 + ... + 50500.

Almost surely, 2^840040000 is an apocalyptic number.

840040000 is a gapful number since it is divisible by the number (80) 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 840040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041562687).

840040000 is an abundant number, since it is smaller than the sum of its proper divisors (1243085374).

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

840040000 is an equidigital number, since it uses as much as digits as its factorization.

840040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 840040000 is about 28983.4435497233. The cubic root of 840040000 is about 943.5537726319.

Adding to 840040000 its reverse (40048), we get a palindrome (840080048).

It can be divided in two parts, 8400 and 40000, that added together give a square (48400 = 220²).

The spelling of 840040000 in words is "eight hundred forty million, forty thousand".