238305695040 has 672 divisors, whose sum is σ = 982890754560. Its totient is φ = 51841843200.

The previous prime is 238305694997. The next prime is 238305695041. The reversal of 238305695040 is 40596503832.

238305695040 is a `hidden beast` number, since 2 + 3 + 8 + 30 + 569 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238305695041) 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, 41506570 + ... + 41512310.

Almost surely, 2^238305695040 is an apocalyptic number.

238305695040 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 238305695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491445377280).

238305695040 is an abundant number, since it is smaller than the sum of its proper divisors (744585059520).

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

238305695040 is a wasteful number, since it uses less digits than its factorization.

238305695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 238305695040 in words is "two hundred thirty-eight billion, three hundred five million, six hundred ninety-five thousand, forty".