840120422400 has 1248 divisors, whose sum is σ = 3576507755520. Its totient is φ = 189351198720.

The previous prime is 840120422321. The next prime is 840120422411. The reversal of 840120422400 is 4224021048.

840120422400 is a `hidden beast` number, since 84 + 0 + 120 + 422 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1606348539 + ... + 1606349061.

Almost surely, 2^840120422400 is an apocalyptic number.

840120422400 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 840120422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788253877760).

840120422400 is an abundant number, since it is smaller than the sum of its proper divisors (2736387333120).

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

840120422400 is a wasteful number, since it uses less digits than its factorization.

840120422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 840120422400 its reverse (4224021048), we get a palindrome (844344443448).

The spelling of 840120422400 in words is "eight hundred forty billion, one hundred twenty million, four hundred twenty-two thousand, four hundred".