840016840000 has 280 divisors, whose sum is σ = 2274028609160. Its totient is φ = 305897472000.

The previous prime is 840016839979. The next prime is 840016840001. The reversal of 840016840000 is 48610048.

It can be written as a sum of positive squares in 20 ways, for example, as 792854899776 + 47161940224 = 890424^2 + 217168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840016840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37948936 + ... + 37971064.

It is an arithmetic number, because the mean of its divisors is an integer number (8121530747).

Almost surely, 2^840016840000 is an apocalyptic number.

840016840000 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 840016840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137014304580).

840016840000 is an abundant number, since it is smaller than the sum of its proper divisors (1434011769160).

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

840016840000 is a wasteful number, since it uses less digits than its factorization.

840016840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22247 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 840016840000 in words is "eight hundred forty billion, sixteen million, eight hundred forty thousand".