4134945360 has 960 divisors, whose sum is σ = 17868356352. Its totient is φ = 780337152.

The previous prime is 4134945349. The next prime is 4134945389. The reversal of 4134945360 is 635494314.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96161499 + ... + 96161541.

Almost surely, 2^4134945360 is an apocalyptic number.

4134945360 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 4134945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934178176).

4134945360 is an abundant number, since it is smaller than the sum of its proper divisors (13733410992).

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

4134945360 is a wasteful number, since it uses less digits than its factorization.

4134945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 4134945360 is about 64303.5408045311. The cubic root of 4134945360 is about 1605.0550228126.

The spelling of 4134945360 in words is "four billion, one hundred thirty-four million, nine hundred forty-five thousand, three hundred sixty".