234310001400 has 384 divisors, whose sum is σ = 838218374400. Its totient is φ = 60114700800.

The previous prime is 234310001399. The next prime is 234310001473. The reversal of 234310001400 is 4100013432.

234310001400 is a `hidden beast` number, since 234 + 31 + 0 + 0 + 0 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 15549870 + ... + 15564930.

It is an arithmetic number, because the mean of its divisors is an integer number (2182860350).

Almost surely, 2^234310001400 is an apocalyptic number.

234310001400 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 234310001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419109187200).

234310001400 is an abundant number, since it is smaller than the sum of its proper divisors (603908373000).

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

234310001400 is a wasteful number, since it uses less digits than its factorization.

234310001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15196 (or 15181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 234310001400 its reverse (4100013432), we get a palindrome (238410014832).

The spelling of 234310001400 in words is "two hundred thirty-four billion, three hundred ten million, one thousand, four hundred".