4799834726400 has 2016 divisors, whose sum is σ = 21144418813440. Its totient is φ = 1015818485760.

The previous prime is 4799834726387. The next prime is 4799834726413. The reversal of 4799834726400 is 46274389974.

4799834726400 is a `hidden beast` number, since 4 + 7 + 99 + 83 + 47 + 26 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4799834726387) and next prime (4799834726413).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17327923062 + ... + 17327923338.

Almost surely, 2^{4799834726400} is an apocalyptic number.

4799834726400 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 4799834726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572209406720).

4799834726400 is an abundant number, since it is smaller than the sum of its proper divisors (16344584087040).

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

4799834726400 is a wasteful number, since it uses less digits than its factorization.

4799834726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 4799834726400 in words is "four trillion, seven hundred ninety-nine billion, eight hundred thirty-four million, seven hundred twenty-six thousand, four hundred".