238378415040 has 168 divisors, whose sum is σ = 820484262000. Its totient is φ = 63524020224.

The previous prime is 238378415029. The next prime is 238378415057. The reversal of 238378415040 is 40514873832.

238378415040 is a `hidden beast` number, since 2 + 38 + 3 + 78 + 41 + 504 + 0 = 666.

238378415040 is digitally balanced in base 2, 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 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 23 ways as a sum of consecutive naturals, for example, 4289512 + ... + 4344728.

Almost surely, 2^238378415040 is an apocalyptic number.

238378415040 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 238378415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410242131000).

238378415040 is an abundant number, since it is smaller than the sum of its proper divisors (582105846960).

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

238378415040 is a wasteful number, since it uses less digits than its factorization.

238378415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56739 (or 56726 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 238378415040 in words is "two hundred thirty-eight billion, three hundred seventy-eight million, four hundred fifteen thousand, forty".