4196075520 has 768 divisors, whose sum is σ = 17611776000. Its totient is φ = 828112896.

The previous prime is 4196075509. The next prime is 4196075549. The reversal of 4196075520 is 255706914.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53114841 + ... + 53114919.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 2^4196075520 is an apocalyptic number.

4196075520 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 4196075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888000).

4196075520 is an abundant number, since it is smaller than the sum of its proper divisors (13415700480).

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

4196075520 is a wasteful number, since it uses less digits than its factorization.

4196075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 4196075520 is about 64777.1218872836. The cubic root of 4196075520 is about 1612.9259601799.

The spelling of 4196075520 in words is "four billion, one hundred ninety-six million, seventy-five thousand, five hundred twenty".