4129198560 has 480 divisors, whose sum is σ = 15752167200. Its totient is φ = 1015234560.

The previous prime is 4129198559. The next prime is 4129198573. The reversal of 4129198560 is 658919214.

4129198560 is a `hidden beast` number, since 412 + 91 + 98 + 5 + 60 = 666.

4129198560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 10095636 + ... + 10096044.

It is an arithmetic number, because the mean of its divisors is an integer number (32817015).

Almost surely, 2^4129198560 is an apocalyptic number.

4129198560 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 4129198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876083600).

4129198560 is an abundant number, since it is smaller than the sum of its proper divisors (11622968640).

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

4129198560 is a wasteful number, since it uses less digits than its factorization.

4129198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4129198560 is about 64258.8403256704. The cubic root of 4129198560 is about 1604.3111027296.

The spelling of 4129198560 in words is "four billion, one hundred twenty-nine million, one hundred ninety-eight thousand, five hundred sixty".