840004352000 has 384 divisors, whose sum is σ = 2296348367040. Its totient is φ = 304168960000.

The previous prime is 840004351939. The next prime is 840004352009. The reversal of 840004352000 is 253400048.

It is a super-2 number, since 2×840004352000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840004352009) 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 31 ways as a sum of consecutive naturals, for example, 892671530 + ... + 892672470.

Almost surely, 2^840004352000 is an apocalyptic number.

840004352000 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 840004352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148174183520).

840004352000 is an abundant number, since it is smaller than the sum of its proper divisors (1456344015040).

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

840004352000 is a wasteful number, since it uses less digits than its factorization.

840004352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 840004352000 its reverse (253400048), we get a palindrome (840257752048).

The spelling of 840004352000 in words is "eight hundred forty billion, four million, three hundred fifty-two thousand".