840414840 has 128 divisors (see below), whose sum is σ = 2686521600. Its totient is φ = 209710080.

The previous prime is 840414829. The next prime is 840414893. The reversal of 840414840 is 48414048.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187020 + ... + 191460.

It is an arithmetic number, because the mean of its divisors is an integer number (20988450).

Almost surely, 2^840414840 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 840414840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343260800).

840414840 is an abundant number, since it is smaller than the sum of its proper divisors (1846106760).

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

840414840 is a wasteful number, since it uses less digits than its factorization.

840414840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 840414840 is about 28989.9092789198. The cubic root of 840414840 is about 943.6940949590.

Adding to 840414840 its reverse (48414048), we get a palindrome (888828888).

The spelling of 840414840 in words is "eight hundred forty million, four hundred fourteen thousand, eight hundred forty".