4298379790320 has 2160 divisors, whose sum is σ = 20076110046720. Its totient is φ = 802998282240.

The previous prime is 4298379790273. The next prime is 4298379790349. The reversal of 4298379790320 is 230979738924.

4298379790320 is a `hidden beast` number, since 429 + 8 + 3 + 7 + 97 + 90 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 431 ways as a sum of consecutive naturals, for example, 33845510097 + ... + 33845510223.

It is an arithmetic number, because the mean of its divisors is an integer number (9294495392).

Almost surely, 2^{4298379790320} is an apocalyptic number.

4298379790320 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 4298379790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038055023360).

4298379790320 is an abundant number, since it is smaller than the sum of its proper divisors (15777730256400).

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

4298379790320 is a wasteful number, since it uses less digits than its factorization.

4298379790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 4298379790320 in words is "four trillion, two hundred ninety-eight billion, three hundred seventy-nine million, seven hundred ninety thousand, three hundred twenty".