253838206440 has 768 divisors, whose sum is σ = 1069705728000. Its totient is φ = 51819264000.

The previous prime is 253838206439. The next prime is 253838206459. The reversal of 253838206440 is 44602838352.

253838206440 is a `hidden beast` number, since 2 + 53 + 83 + 82 + 0 + 6 + 440 = 666.

253838206440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49759890 + ... + 49764990.

It is an arithmetic number, because the mean of its divisors is an integer number (1392846000).

Almost surely, 2^253838206440 is an apocalyptic number.

253838206440 is a gapful number since it is divisible by the number (20) 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 253838206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534852864000).

253838206440 is an abundant number, since it is smaller than the sum of its proper divisors (815867521560).

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

253838206440 is a wasteful number, since it uses less digits than its factorization.

253838206440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 253838206440 in words is "two hundred fifty-three billion, eight hundred thirty-eight million, two hundred six thousand, four hundred forty".