4201030399104 has 384 divisors, whose sum is σ = 15081174650880. Its totient is φ = 1090503751680.

The previous prime is 4201030399091. The next prime is 4201030399127. The reversal of 4201030399104 is 4019930301024.

4201030399104 is a `hidden beast` number, since 420 + 10 + 30 + 3 + 99 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152823249 + ... + 152850735.

It is an arithmetic number, because the mean of its divisors is an integer number (39273892320).

Almost surely, 2^{4201030399104} is an apocalyptic number.

4201030399104 is a gapful number since it is divisible by the number (44) 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 4201030399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540587325440).

4201030399104 is an abundant number, since it is smaller than the sum of its proper divisors (10880144251776).

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

4201030399104 is a wasteful number, since it uses less digits than its factorization.

4201030399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29248 (or 29233 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 4201030399104 in words is "four trillion, two hundred one billion, thirty million, three hundred ninety-nine thousand, one hundred four".