840004808400 has 480 divisors, whose sum is σ = 3046900164480. Its totient is φ = 219750727680.

The previous prime is 840004808389. The next prime is 840004808431. The reversal of 840004808400 is 4808400048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185962942 + ... + 185967458.

It is an arithmetic number, because the mean of its divisors is an integer number (6347708676).

Almost surely, 2^840004808400 is an apocalyptic number.

840004808400 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 840004808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523450082240).

840004808400 is an abundant number, since it is smaller than the sum of its proper divisors (2206895356080).

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

840004808400 is a wasteful number, since it uses less digits than its factorization.

840004808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 840004808400 in words is "eight hundred forty billion, four million, eight hundred eight thousand, four hundred".