234213254400 has 432 divisors, whose sum is σ = 800941236480. Its totient is φ = 60230860800.

The previous prime is 234213254383. The next prime is 234213254417. The reversal of 234213254400 is 4452312432.

It is an interprime number because it is at equal distance from previous prime (234213254383) and next prime (234213254417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70059129 + ... + 70062471.

It is an arithmetic number, because the mean of its divisors is an integer number (1854030640).

Almost surely, 2^234213254400 is an apocalyptic number.

234213254400 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 234213254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400470618240).

234213254400 is an abundant number, since it is smaller than the sum of its proper divisors (566727982080).

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

234213254400 is a wasteful number, since it uses less digits than its factorization.

234213254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234213254400 its reverse (4452312432), we get a palindrome (238665566832).

The spelling of 234213254400 in words is "two hundred thirty-four billion, two hundred thirteen million, two hundred fifty-four thousand, four hundred".