238422228287040 has 1344 divisors, whose sum is σ = 993178032537600. Its totient is φ = 54419371776000.

The previous prime is 238422228287039. The next prime is 238422228287057. The reversal of 238422228287040 is 40782822224832.

238422228287040 is a `hidden beast` number, since 2 + 3 + 8 + 422 + 22 + 82 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20030425729 + ... + 20030437631.

It is an arithmetic number, because the mean of its divisors is an integer number (738971750400).

Almost surely, 2^{238422228287040} is an apocalyptic number.

238422228287040 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 238422228287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496589016268800).

238422228287040 is an abundant number, since it is smaller than the sum of its proper divisors (754755804250560).

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

238422228287040 is an equidigital number, since it uses as much as digits as its factorization.

238422228287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 238422228287040 in words is "two hundred thirty-eight trillion, four hundred twenty-two billion, two hundred twenty-eight million, two hundred eighty-seven thousand, forty".