4223961302400 has 1728 divisors, whose sum is σ = 18349215262560. Its totient is φ = 940584960000.

The previous prime is 4223961302389. The next prime is 4223961302461. The reversal of 4223961302400 is 42031693224.

4223961302400 is a `hidden beast` number, since 4 + 2 + 2 + 39 + 613 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 215 ways as a sum of consecutive naturals, for example, 6025622050 + ... + 6025622750.

Almost surely, 2^{4223961302400} is an apocalyptic number.

4223961302400 is a gapful number since it is divisible by the number (40) 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 4223961302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174607631280).

4223961302400 is an abundant number, since it is smaller than the sum of its proper divisors (14125253960160).

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

4223961302400 is an frugal number, since it uses more digits than its factorization.

4223961302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 4223961302400 its reverse (42031693224), we get a palindrome (4265992995624).

The spelling of 4223961302400 in words is "four trillion, two hundred twenty-three billion, nine hundred sixty-one million, three hundred two thousand, four hundred".