840438108400 has 240 divisors, whose sum is σ = 2275062020640. Its totient is φ = 295734067200.

The previous prime is 840438108373. The next prime is 840438108401. The reversal of 840438108400 is 4801834048.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840438108401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16998916 + ... + 17048284.

It is an arithmetic number, because the mean of its divisors is an integer number (9479425086).

Almost surely, 2^840438108400 is an apocalyptic number.

840438108400 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 840438108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137531010320).

840438108400 is an abundant number, since it is smaller than the sum of its proper divisors (1434623912240).

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

840438108400 is a wasteful number, since it uses less digits than its factorization.

840438108400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49524 (or 49513 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 840438108400 in words is "eight hundred forty billion, four hundred thirty-eight million, one hundred eight thousand, four hundred".