4129090560 has 704 divisors, whose sum is σ = 17827568640. Its totient is φ = 884736000.

The previous prime is 4129090529. The next prime is 4129090579. The reversal of 4129090560 is 650909214.

4129090560 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 0 + 90 + 560 = 666.

It is a super-2 number, since 2×4129090560² = 34098777705362227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450435 + ... + 16450685.

Almost surely, 2^4129090560 is an apocalyptic number.

4129090560 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 4129090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913784320).

4129090560 is an abundant number, since it is smaller than the sum of its proper divisors (13698478080).

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

4129090560 is a wasteful number, since it uses less digits than its factorization.

4129090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4129090560 is about 64257.9999688755. Note that the first 4 decimals coincide. The cubic root of 4129090560 is about 1604.2971155836.

Adding to 4129090560 its reverse (650909214), we get a palindrome (4779999774).

The spelling of 4129090560 in words is "four billion, one hundred twenty-nine million, ninety thousand, five hundred sixty".