840300477408 has 384 divisors, whose sum is σ = 2842427427840. Its totient is φ = 239506523136.

The previous prime is 840300477383. The next prime is 840300477413. The reversal of 840300477408 is 804774003048.

It is a super-2 number, since 2×840300477408² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228775860 + ... + 228779532.

It is an arithmetic number, because the mean of its divisors is an integer number (7402154760).

Almost surely, 2^840300477408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840300477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421213713920).

840300477408 is an abundant number, since it is smaller than the sum of its proper divisors (2002126950432).

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

840300477408 is an equidigital number, since it uses as much as digits as its factorization.

840300477408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 840300477408 in words is "eight hundred forty billion, three hundred million, four hundred seventy-seven thousand, four hundred eight".