4814129376 has 384 divisors, whose sum is σ = 16822149120. Its totient is φ = 1326896640.

The previous prime is 4814129339. The next prime is 4814129387. The reversal of 4814129376 is 6739214184.

4814129376 is a `hidden beast` number, since 4 + 81 + 412 + 93 + 76 = 666.

It is a super-2 number, since 2×4814129376² = 46351683297732298752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 15186370 + ... + 15186686.

It is an arithmetic number, because the mean of its divisors is an integer number (43807680).

Almost surely, 2^4814129376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4814129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411074560).

4814129376 is an abundant number, since it is smaller than the sum of its proper divisors (12008019744).

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

4814129376 is an equidigital number, since it uses as much as digits as its factorization.

4814129376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4814129376 is about 69383.9273607368. The cubic root of 4814129376 is about 1688.5188727049.

The spelling of 4814129376 in words is "four billion, eight hundred fourteen million, one hundred twenty-nine thousand, three hundred seventy-six".