840884408400 has 60 divisors (see below), whose sum is σ = 2693633058752. Its totient is φ = 224235841920.

The previous prime is 840884408383. The next prime is 840884408401. The reversal of 840884408400 is 4804488048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 840884408400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840884408401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350367304 + ... + 350369703.

Almost surely, 2^840884408400 is an apocalyptic number.

840884408400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

840884408400 is an abundant number, since it is smaller than the sum of its proper divisors (1852748650352).

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

840884408400 is a wasteful number, since it uses less digits than its factorization.

840884408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700737028 (or 700737017 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 840884408400 in words is "eight hundred forty billion, eight hundred eighty-four million, four hundred eight thousand, four hundred".