23414444213400 has 288 divisors, whose sum is σ = 79112637873360. Its totient is φ = 6205865656320.

The previous prime is 23414444213389. The next prime is 23414444213401. The reversal of 23414444213400 is 431244441432.

23414444213400 is a `hidden beast` number, since 2 + 3 + 41 + 44 + 442 + 134 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23414444213401) 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 71 ways as a sum of consecutive naturals, for example, 390100192 + ... + 390160208.

Almost surely, 2^{23414444213400} is an apocalyptic number.

23414444213400 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 23414444213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39556318936680).

23414444213400 is an abundant number, since it is smaller than the sum of its proper divisors (55698193659960).

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

23414444213400 is a wasteful number, since it uses less digits than its factorization.

23414444213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61355 (or 61343 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23414444213400 its reverse (431244441432), we get a palindrome (23845688654832).

The spelling of 23414444213400 in words is "twenty-three trillion, four hundred fourteen billion, four hundred forty-four million, two hundred thirteen thousand, four hundred".