840220840800 has 720 divisors, whose sum is σ = 3399504292800. Its totient is φ = 200227507200.

The previous prime is 840220840699. The next prime is 840220840817. The reversal of 840220840800 is 8048022048.

840220840800 is a `hidden beast` number, since 8 + 40 + 2 + 208 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×840220840800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42045211 + ... + 42065189.

It is an arithmetic number, because the mean of its divisors is an integer number (4721533740).

Almost surely, 2^840220840800 is an apocalyptic number.

840220840800 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 840220840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699752146400).

840220840800 is an abundant number, since it is smaller than the sum of its proper divisors (2559283452000).

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

840220840800 is a wasteful number, since it uses less digits than its factorization.

840220840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20081 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 840220840800 its reverse (8048022048), we get a palindrome (848268862848).

The spelling of 840220840800 in words is "eight hundred forty billion, two hundred twenty million, eight hundred forty thousand, eight hundred".