4826146406400 has 2592 divisors, whose sum is σ = 21297755606400. Its totient is φ = 1070176665600.

The previous prime is 4826146406399. The next prime is 4826146406407. The reversal of 4826146406400 is 46046416284.

4826146406400 is a `hidden beast` number, since 48 + 26 + 146 + 40 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4826146406407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166418841586 + ... + 166418841614.

It is an arithmetic number, because the mean of its divisors is an integer number (8216726700).

Almost surely, 2^{4826146406400} is an apocalyptic number.

4826146406400 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 4826146406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648877803200).

4826146406400 is an abundant number, since it is smaller than the sum of its proper divisors (16471609200000).

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

4826146406400 is an equidigital number, since it uses as much as digits as its factorization.

4826146406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4826146406400 in words is "four trillion, eight hundred twenty-six billion, one hundred forty-six million, four hundred six thousand, four hundred".