238140271440 has 240 divisors, whose sum is σ = 826867791360. Its totient is φ = 61357685760.

The previous prime is 238140271393. The next prime is 238140271517. The reversal of 238140271440 is 44172041832.

238140271440 is a `hidden beast` number, since 2 + 3 + 8 + 140 + 2 + 71 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 238140271395 and 238140271404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14566791 + ... + 14583129.

It is an arithmetic number, because the mean of its divisors is an integer number (3445282464).

Almost surely, 2^238140271440 is an apocalyptic number.

238140271440 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 238140271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413433895680).

238140271440 is an abundant number, since it is smaller than the sum of its proper divisors (588727519920).

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

238140271440 is a wasteful number, since it uses less digits than its factorization.

238140271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 17033 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 238140271440 in words is "two hundred thirty-eight billion, one hundred forty million, two hundred seventy-one thousand, four hundred forty".