4198413390080 has 864 divisors, whose sum is σ = 13100145539040. Its totient is φ = 1276284764160.

The previous prime is 4198413390049. The next prime is 4198413390103. The reversal of 4198413390080 is 800933148914.

It can be written as a sum of positive squares in 16 ways, for example, as 1304821874944 + 2893591515136 = 1142288^2 + 1701056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6549786560 + ... + 6549787200.

It is an arithmetic number, because the mean of its divisors is an integer number (15162205485).

Almost surely, 2^{4198413390080} is an apocalyptic number.

4198413390080 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 4198413390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550072769520).

4198413390080 is an abundant number, since it is smaller than the sum of its proper divisors (8901732148960).

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

4198413390080 is a wasteful number, since it uses less digits than its factorization.

4198413390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 4198413390080 in words is "four trillion, one hundred ninety-eight billion, four hundred thirteen million, three hundred ninety thousand, eighty".