857245213440 has 2304 divisors, whose sum is σ = 3973677281280. Its totient is φ = 171992678400.

The previous prime is 857245213423. The next prime is 857245213501. The reversal of 857245213440 is 44312542758.

857245213440 is a `hidden beast` number, since 8 + 57 + 2 + 4 + 521 + 34 + 40 = 666.

857245213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8837579472 + ... + 8837579568.

It is an arithmetic number, because the mean of its divisors is an integer number (1724686320).

Almost surely, 2^857245213440 is an apocalyptic number.

857245213440 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 857245213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986838640640).

857245213440 is an abundant number, since it is smaller than the sum of its proper divisors (3116432067840).

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

857245213440 is an equidigital number, since it uses as much as digits as its factorization.

857245213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 857245213440 in words is "eight hundred fifty-seven billion, two hundred forty-five million, two hundred thirteen thousand, four hundred forty".