840212454359040 has 3840 divisors, whose sum is σ = 3698417686118400. Its totient is φ = 158075398914048.

The previous prime is 840212454358999. The next prime is 840212454359053. The reversal of 840212454359040 is 40953454212048.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 370627459987 + ... + 370627462253.

It is an arithmetic number, because the mean of its divisors is an integer number (963129605760).

Almost surely, 2^{840212454359040} is an apocalyptic number.

840212454359040 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 840212454359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849208843059200).

840212454359040 is an abundant number, since it is smaller than the sum of its proper divisors (2858205231759360).

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

840212454359040 is a wasteful number, since it uses less digits than its factorization.

840212454359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 840212454359040 in words is "eight hundred forty trillion, two hundred twelve billion, four hundred fifty-four million, three hundred fifty-nine thousand, forty".