4134372480 has 192 divisors, whose sum is σ = 16316164800. Its totient is φ = 944990208.

The previous prime is 4134372421. The next prime is 4134372499. The reversal of 4134372480 is 842734314.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10950 + ... + 91589.

It is an arithmetic number, because the mean of its divisors is an integer number (84980025).

Almost surely, 2^4134372480 is an apocalyptic number.

4134372480 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 4134372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158082400).

4134372480 is an abundant number, since it is smaller than the sum of its proper divisors (12181792320).

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

4134372480 is a wasteful number, since it uses less digits than its factorization.

4134372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102571 (or 102556 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4134372480 is about 64299.0861521375. The cubic root of 4134372480 is about 1604.9808947561.

The spelling of 4134372480 in words is "four billion, one hundred thirty-four million, three hundred seventy-two thousand, four hundred eighty".