4023104350400 has 84 divisors (see below), whose sum is σ = 9904361136120. Its totient is φ = 1608427315200.

The previous prime is 4023104350379. The next prime is 4023104350403. The reversal of 4023104350400 is 40534013204.

It is a super-2 number, since 2×4023104350400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4023104350400.

It is not an unprimeable number, because it can be changed into a prime (4023104350403) 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 11 ways as a sum of consecutive naturals, for example, 2531120 + ... + 3801680.

Almost surely, 2^{4023104350400} is an apocalyptic number.

4023104350400 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 4023104350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952180568060).

4023104350400 is an abundant number, since it is smaller than the sum of its proper divisors (5881256785720).

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

4023104350400 is a wasteful number, since it uses less digits than its factorization.

4023104350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272562 (or 1272547 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 4023104350400 its reverse (40534013204), we get a palindrome (4063638363604).

The spelling of 4023104350400 in words is "four trillion, twenty-three billion, one hundred four million, three hundred fifty thousand, four hundred".