238414415040 has 672 divisors, whose sum is σ = 879287625216. Its totient is φ = 61451550720.

The previous prime is 238414415039. The next prime is 238414415047. The reversal of 238414415040 is 40514414832.

238414415040 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 144 + 1 + 504 + 0 = 666.

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 = 238414414986 and 238414415004.

It is not an unprimeable number, because it can be changed into a prime (238414415047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377835525 + ... + 377836155.

It is an arithmetic number, because the mean of its divisors is an integer number (1308463728).

Almost surely, 2^238414415040 is an apocalyptic number.

238414415040 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 238414415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439643812608).

238414415040 is an abundant number, since it is smaller than the sum of its proper divisors (640873210176).

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

238414415040 is a wasteful number, since it uses less digits than its factorization.

238414415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 238414415040 its reverse (40514414832), we get a palindrome (278928829872).

The spelling of 238414415040 in words is "two hundred thirty-eight billion, four hundred fourteen million, four hundred fifteen thousand, forty".