4134614964480 has 3456 divisors, whose sum is σ = 20519127982080. Its totient is φ = 740205527040.

The previous prime is 4134614964479. The next prime is 4134614964503. The reversal of 4134614964480 is 844694164314.

4134614964480 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 61 + 49 + 64 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24758173357 + ... + 24758173523.

It is an arithmetic number, because the mean of its divisors is an integer number (5937247680).

Almost surely, 2^{4134614964480} is an apocalyptic number.

4134614964480 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 4134614964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259563991040).

4134614964480 is an abundant number, since it is smaller than the sum of its proper divisors (16384513017600).

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

4134614964480 is a wasteful number, since it uses less digits than its factorization.

4134614964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4134614964480 in words is "four trillion, one hundred thirty-four billion, six hundred fourteen million, nine hundred sixty-four thousand, four hundred eighty".