238262867040 has 384 divisors, whose sum is σ = 852524434944. Its totient is φ = 55425024000.

The previous prime is 238262867023. The next prime is 238262867053. The reversal of 238262867040 is 40768262832.

238262867040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13196259 + ... + 13214301.

It is an arithmetic number, because the mean of its divisors is an integer number (2220115716).

Almost surely, 2^238262867040 is an apocalyptic number.

238262867040 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 238262867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426262217472).

238262867040 is an abundant number, since it is smaller than the sum of its proper divisors (614261567904).

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

238262867040 is a wasteful number, since it uses less digits than its factorization.

238262867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18174 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 238262867040 in words is "two hundred thirty-eight billion, two hundred sixty-two million, eight hundred sixty-seven thousand, forty".