238900942771200 has 3960 divisors, whose sum is σ = 982421024617472. Its totient is φ = 57307960442880.

The previous prime is 238900942771177. The next prime is 238900942771277. The reversal of 238900942771200 is 2177249009832.

It is a happy number.

238900942771200 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 0 + 0 + 9 + 427 + 7 + 1 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1881109785537 + ... + 1881109785663.

Almost surely, 2^{238900942771200} is an apocalyptic number.

238900942771200 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 238900942771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491210512308736).

238900942771200 is an abundant number, since it is smaller than the sum of its proper divisors (743520081846272).

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

238900942771200 is a wasteful number, since it uses less digits than its factorization.

238900942771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 238900942771200 in words is "two hundred thirty-eight trillion, nine hundred billion, nine hundred forty-two million, seven hundred seventy-one thousand, two hundred".