4601169256320 has 2560 divisors, whose sum is σ = 21210957250560. Its totient is φ = 924460646400.

The previous prime is 4601169256279. The next prime is 4601169256403. The reversal of 4601169256320 is 236529611064.

4601169256320 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 1 + 6 + 9 + 2 + 5 + 632 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 10675566505 + ... + 10675566935.

It is an arithmetic number, because the mean of its divisors is an integer number (8285530176).

Almost surely, 2^{4601169256320} is an apocalyptic number.

4601169256320 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 4601169256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605478625280).

4601169256320 is an abundant number, since it is smaller than the sum of its proper divisors (16609787994240).

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

4601169256320 is a wasteful number, since it uses less digits than its factorization.

4601169256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4601169256320 in words is "four trillion, six hundred one billion, one hundred sixty-nine million, two hundred fifty-six thousand, three hundred twenty".