4098177570960 has 1280 divisors, whose sum is σ = 17067227627520. Its totient is φ = 891605975040.

The previous prime is 4098177570959. The next prime is 4098177570967. The reversal of 4098177570960 is 690757718904.

4098177570960 is a `hidden beast` number, since 40 + 9 + 8 + 17 + 7 + 570 + 9 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4098177570967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4672950042 + ... + 4672950918.

It is an arithmetic number, because the mean of its divisors is an integer number (13333771584).

Almost surely, 2^{4098177570960} is an apocalyptic number.

4098177570960 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 4098177570960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533613813760).

4098177570960 is an abundant number, since it is smaller than the sum of its proper divisors (12969050056560).

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

4098177570960 is a wasteful number, since it uses less digits than its factorization.

4098177570960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 4098177570960 in words is "four trillion, ninety-eight billion, one hundred seventy-seven million, five hundred seventy thousand, nine hundred sixty".