853370221440 has 1024 divisors, whose sum is σ = 3331238400000. Its totient is φ = 183317299200.

The previous prime is 853370221433. The next prime is 853370221441. The reversal of 853370221440 is 44122073358.

It is a super-4 number, since 4×853370221440⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853370221441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 426897561 + ... + 426899559.

It is an arithmetic number, because the mean of its divisors is an integer number (3253162500).

Almost surely, 2^853370221440 is an apocalyptic number.

853370221440 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 853370221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665619200000).

853370221440 is an abundant number, since it is smaller than the sum of its proper divisors (2477868178560).

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

853370221440 is a wasteful number, since it uses less digits than its factorization.

853370221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 853370221440 its reverse (44122073358), we get a palindrome (897492294798).

The spelling of 853370221440 in words is "eight hundred fifty-three billion, three hundred seventy million, two hundred twenty-one thousand, four hundred forty".