4104428850400 has 144 divisors (see below), whose sum is σ = 10610713214640. Its totient is φ = 1544997478400.

The previous prime is 4104428850373. The next prime is 4104428850409. The reversal of 4104428850400 is 40588244014.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104428850409) 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 23 ways as a sum of consecutive naturals, for example, 145383486 + ... + 145411714.

It is an arithmetic number, because the mean of its divisors is an integer number (73685508435).

Almost surely, 2^{4104428850400} is an apocalyptic number.

4104428850400 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 4104428850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305356607320).

4104428850400 is an abundant number, since it is smaller than the sum of its proper divisors (6506284364240).

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

4104428850400 is a wasteful number, since it uses less digits than its factorization.

4104428850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38957 (or 38944 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 40.

The spelling of 4104428850400 in words is "four trillion, one hundred four billion, four hundred twenty-eight million, eight hundred fifty thousand, four hundred".