4197892979280 has 640 divisors, whose sum is σ = 18075163115520. Its totient is φ = 777423790080.

The previous prime is 4197892979249. The next prime is 4197892979299. The reversal of 4197892979280 is 829792987914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6665689 + ... + 7268231.

It is an arithmetic number, because the mean of its divisors is an integer number (28242442368).

Almost surely, 2^{4197892979280} is an apocalyptic number.

4197892979280 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 4197892979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037581557760).

4197892979280 is an abundant number, since it is smaller than the sum of its proper divisors (13877270136240).

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

4197892979280 is a wasteful number, since it uses less digits than its factorization.

4197892979280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602619 (or 602613 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 75.

The spelling of 4197892979280 in words is "four trillion, one hundred ninety-seven billion, eight hundred ninety-two million, nine hundred seventy-nine thousand, two hundred eighty".