849415403200 has 336 divisors, whose sum is σ = 2581831182784. Its totient is φ = 267842764800.

The previous prime is 849415403143. The next prime is 849415403203. The reversal of 849415403200 is 2304514948.

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

It is not an unprimeable number, because it can be changed into a prime (849415403203) 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, 40320670 + ... + 40341730.

Almost surely, 2^849415403200 is an apocalyptic number.

849415403200 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 849415403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290915591392).

849415403200 is an abundant number, since it is smaller than the sum of its proper divisors (1732415779584).

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

849415403200 is a wasteful number, since it uses less digits than its factorization.

849415403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21380 (or 21365 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 849415403200 in words is "eight hundred forty-nine billion, four hundred fifteen million, four hundred three thousand, two hundred".