4104012422400 has 864 divisors, whose sum is σ = 15105215204352. Its totient is φ = 972954009600.

The previous prime is 4104012422381. The next prime is 4104012422413. The reversal of 4104012422400 is 42242104014.

4104012422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1805547664 + ... + 1805549936.

It is an arithmetic number, because the mean of its divisors is an integer number (17482887968).

Almost surely, 2^{4104012422400} is an apocalyptic number.

4104012422400 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 4104012422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552607602176).

4104012422400 is an abundant number, since it is smaller than the sum of its proper divisors (11001202781952).

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

4104012422400 is a wasteful number, since it uses less digits than its factorization.

4104012422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4104012422400 its reverse (42242104014), we get a palindrome (4146254526414).

The spelling of 4104012422400 in words is "four trillion, one hundred four billion, twelve million, four hundred twenty-two thousand, four hundred".