4874126400 has 840 divisors, whose sum is σ = 21128272704. Its totient is φ = 1086566400.

The previous prime is 4874126347. The next prime is 4874126407. The reversal of 4874126400 is 46214784.

4874126400 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 1 + 2 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4874126407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18532669 + ... + 18532931.

Almost surely, 2^4874126400 is an apocalyptic number.

4874126400 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 4874126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564136352).

4874126400 is an abundant number, since it is smaller than the sum of its proper divisors (16254146304).

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

4874126400 is a wasteful number, since it uses less digits than its factorization.

4874126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4874126400 is about 69814.9439590121. The cubic root of 4874126400 is about 1695.5044312747.

The spelling of 4874126400 in words is "four billion, eight hundred seventy-four million, one hundred twenty-six thousand, four hundred".