4204921107408 has 320 divisors, whose sum is σ = 13608919449600. Its totient is φ = 1091705610240.

The previous prime is 4204921107407. The next prime is 4204921107479. The reversal of 4204921107408 is 8047011294024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4204921107408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204921107403) 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 63 ways as a sum of consecutive naturals, for example, 22269138 + ... + 22457166.

It is an arithmetic number, because the mean of its divisors is an integer number (42527873280).

Almost surely, 2^{4204921107408} is an apocalyptic number.

4204921107408 is a gapful number since it is divisible by the number (48) 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 4204921107408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804459724800).

4204921107408 is an abundant number, since it is smaller than the sum of its proper divisors (9403998342192).

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

4204921107408 is a wasteful number, since it uses less digits than its factorization.

4204921107408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188210 (or 188204 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 4204921107408 in words is "four trillion, two hundred four billion, nine hundred twenty-one million, one hundred seven thousand, four hundred eight".