4134314880 has 384 divisors, whose sum is σ = 15448960800. Its totient is φ = 1015234560.

The previous prime is 4134314879. The next prime is 4134314927. The reversal of 4134314880 is 884134314.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4048770 + ... + 4049790.

Almost surely, 2^4134314880 is an apocalyptic number.

4134314880 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 4134314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724480400).

4134314880 is an abundant number, since it is smaller than the sum of its proper divisors (11314645920).

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

4134314880 is a wasteful number, since it uses less digits than its factorization.

4134314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4134314880 is about 64298.6382437451. The cubic root of 4134314880 is about 1604.9734412003.

The spelling of 4134314880 in words is "four billion, one hundred thirty-four million, three hundred fourteen thousand, eight hundred eighty".