840853094400 has 966 divisors, whose sum is σ = 3410774051772. Its totient is φ = 203843174400.

The previous prime is 840853094387. The next prime is 840853094407. The reversal of 840853094400 is 4490358048.

It is a happy number.

840853094400 is a `hidden beast` number, since 84 + 0 + 85 + 3 + 0 + 94 + 400 = 666.

It is a super-2 number, since 2×840853094400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (840853094407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 76441190395 + ... + 76441190405.

Almost surely, 2^840853094400 is an apocalyptic number.

840853094400 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 840853094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705387025886).

840853094400 is an abundant number, since it is smaller than the sum of its proper divisors (2569920957372).

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

840853094400 is an frugal number, since it uses more digits than its factorization.

840853094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 840853094400 in words is "eight hundred forty billion, eight hundred fifty-three million, ninety-four thousand, four hundred".