238783796267400 has 768 divisors, whose sum is σ = 908345195520000. Its totient is φ = 57421312128000.

The previous prime is 238783796267389. The next prime is 238783796267459. The reversal of 238783796267400 is 4762697387832.

238783796267400 is a `hidden beast` number, since 2 + 3 + 8 + 78 + 3 + 7 + 96 + 2 + 67 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193401231 + ... + 194631969.

It is an arithmetic number, because the mean of its divisors is an integer number (1182741140000).

Almost surely, 2^{238783796267400} is an apocalyptic number.

238783796267400 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 238783796267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454172597760000).

238783796267400 is an abundant number, since it is smaller than the sum of its proper divisors (669561399252600).

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

238783796267400 is a wasteful number, since it uses less digits than its factorization.

238783796267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230875 (or 1230860 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 238783796267400 in words is "two hundred thirty-eight trillion, seven hundred eighty-three billion, seven hundred ninety-six million, two hundred sixty-seven thousand, four hundred".