4829126400 has 972 divisors, whose sum is σ = 21128725800. Its totient is φ = 1047674880.

The previous prime is 4829126381. The next prime is 4829126413. The reversal of 4829126400 is 46219284.

4829126400 = 225³ + 226³ + ... + 384³.

4829126400 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 1 + 2 + 640 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81849571 + ... + 81849629.

Almost surely, 2^4829126400 is an apocalyptic number.

4829126400 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 4829126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564362900).

4829126400 is an abundant number, since it is smaller than the sum of its proper divisors (16299599400).

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

4829126400 is a wasteful number, since it uses less digits than its factorization.

4829126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4829126400 is about 69491.9160766200. The cubic root of 4829126400 is about 1690.2704187797.

It can be divided in two parts, 48291 and 26400, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 4829126400 in words is "four billion, eight hundred twenty-nine million, one hundred twenty-six thousand, four hundred".