4929126400 has 192 divisors, whose sum is σ = 13359702960. Its totient is φ = 1789132800.

The previous prime is 4929126379. The next prime is 4929126407. The reversal of 4929126400 is 46219294.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4929126400.

It is not an unprimeable number, because it can be changed into a prime (4929126407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9010927 + ... + 9011473.

Almost surely, 2^4929126400 is an apocalyptic number.

4929126400 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 4929126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679851480).

4929126400 is an abundant number, since it is smaller than the sum of its proper divisors (8430576560).

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

4929126400 is an equidigital number, since it uses as much as digits as its factorization.

4929126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4929126400 is about 70207.7374653250. The cubic root of 4929126400 is about 1701.8579916618.

The spelling of 4929126400 in words is "four billion, nine hundred twenty-nine million, one hundred twenty-six thousand, four hundred".