238493136750400 has 672 divisors, whose sum is σ = 691816478411520. Its totient is φ = 79220613120000.

The previous prime is 238493136750391. The next prime is 238493136750409. The reversal of 238493136750400 is 4057631394832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (238493136750391) and next prime (238493136750409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238493136750409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115269760566 + ... + 115269762634.

It is an arithmetic number, because the mean of its divisors is an integer number (1029488807160).

It is a 1-persistent number, because it is pandigital, but 2⋅238493136750400 = 476986273500800 is not.

Almost surely, 2^{238493136750400} is an apocalyptic number.

238493136750400 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 238493136750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345908239205760).

238493136750400 is an abundant number, since it is smaller than the sum of its proper divisors (453323341661120).

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

238493136750400 is a wasteful number, since it uses less digits than its factorization.

238493136750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 238493136750400 in words is "two hundred thirty-eight trillion, four hundred ninety-three billion, one hundred thirty-six million, seven hundred fifty thousand, four hundred".