4198747000320 has 560 divisors, whose sum is σ = 15415290411840. Its totient is φ = 1095820296192.

The previous prime is 4198747000307. The next prime is 4198747000333. The reversal of 4198747000320 is 230007478914.

4198747000320 is a `hidden beast` number, since 4 + 198 + 74 + 70 + 0 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (4198747000307) and next prime (4198747000333).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 87689346 + ... + 87737214.

Almost surely, 2^{4198747000320} is an apocalyptic number.

4198747000320 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 4198747000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707645205920).

4198747000320 is an abundant number, since it is smaller than the sum of its proper divisors (11216543411520).

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

4198747000320 is an frugal number, since it uses more digits than its factorization.

4198747000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47957 (or 47926 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4198747000320 in words is "four trillion, one hundred ninety-eight billion, seven hundred forty-seven million, three hundred twenty", and thus it is an aban number.