4198794657120 has 1728 divisors, whose sum is σ = 18407413140480. Its totient is φ = 867491057664.

The previous prime is 4198794657077. The next prime is 4198794657149. The reversal of 4198794657120 is 217564978914.

4198794657120 is a `hidden beast` number, since 4 + 1 + 9 + 87 + 9 + 465 + 71 + 20 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10576308762 + ... + 10576309158.

It is an arithmetic number, because the mean of its divisors is an integer number (10652438160).

Almost surely, 2^{4198794657120} is an apocalyptic number.

4198794657120 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 4198794657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9203706570240).

4198794657120 is an abundant number, since it is smaller than the sum of its proper divisors (14208618483360).

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

4198794657120 is a wasteful number, since it uses less digits than its factorization.

4198794657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 4198794657120 in words is "four trillion, one hundred ninety-eight billion, seven hundred ninety-four million, six hundred fifty-seven thousand, one hundred twenty".