4126536960 has 576 divisors, whose sum is σ = 16620172800. Its totient is φ = 867041280.

The previous prime is 4126536929. The next prime is 4126536977. The reversal of 4126536960 is 696356214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

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, 17122440 + ... + 17122680.

Almost surely, 2^4126536960 is an apocalyptic number.

4126536960 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 4126536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310086400).

4126536960 is an abundant number, since it is smaller than the sum of its proper divisors (12493635840).

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

4126536960 is a wasteful number, since it uses less digits than its factorization.

4126536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4126536960 is about 64238.1269963563. The cubic root of 4126536960 is about 1603.9663262023.

The spelling of 4126536960 in words is "four billion, one hundred twenty-six million, five hundred thirty-six thousand, nine hundred sixty".