238807581143040 has 4992 divisors, whose sum is σ = 1185967681920000. Its totient is φ = 44904612888576.

The previous prime is 238807581142943. The next prime is 238807581143099. The reversal of 238807581143040 is 40341185708832.

238807581143040 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 0 + 7 + 581 + 14 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×238807581143040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113772071911 + ... + 113772074009.

Almost surely, 2^{238807581143040} is an apocalyptic number.

238807581143040 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 238807581143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592983840960000).

238807581143040 is an abundant number, since it is smaller than the sum of its proper divisors (947160100776960).

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

238807581143040 is a wasteful number, since it uses less digits than its factorization.

238807581143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 238807581143040 in words is "two hundred thirty-eight trillion, eight hundred seven billion, five hundred eighty-one million, one hundred forty-three thousand, forty".