238092001136640 has 3120 divisors, whose sum is σ = 1079031584632320. Its totient is φ = 49883609825280.

The previous prime is 238092001136611. The next prime is 238092001136641. The reversal of 238092001136640 is 46631100290832.

238092001136640 is a `hidden beast` number, since 2 + 3 + 80 + 9 + 200 + 1 + 1 + 366 + 4 + 0 = 666.

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 (238092001136641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47876933194 + ... + 47876938166.

Almost surely, 2^{238092001136640} is an apocalyptic number.

238092001136640 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 238092001136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539515792316160).

238092001136640 is an abundant number, since it is smaller than the sum of its proper divisors (840939583495680).

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

238092001136640 is a wasteful number, since it uses less digits than its factorization.

238092001136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 238092001136640 in words is "two hundred thirty-eight trillion, ninety-two billion, one million, one hundred thirty-six thousand, six hundred forty".