4104250214400 has 2304 divisors, whose sum is σ = 18587185344000. Its totient is φ = 866333491200.

The previous prime is 4104250214377. The next prime is 4104250214411. The reversal of 4104250214400 is 44120524014.

4104250214400 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 250 + 2 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10034841396 + ... + 10034841804.

It is an arithmetic number, because the mean of its divisors is an integer number (8067354750).

Almost surely, 2^{4104250214400} is an apocalyptic number.

4104250214400 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 4104250214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293592672000).

4104250214400 is an abundant number, since it is smaller than the sum of its proper divisors (14482935129600).

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

4104250214400 is a wasteful number, since it uses less digits than its factorization.

4104250214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 4104250214400 its reverse (44120524014), we get a palindrome (4148370738414).

The spelling of 4104250214400 in words is "four trillion, one hundred four billion, two hundred fifty million, two hundred fourteen thousand, four hundred".