4841076326400 has 1152 divisors, whose sum is σ = 18262616430240. Its totient is φ = 1271047127040.

The previous prime is 4841076326389. The next prime is 4841076326413. The reversal of 4841076326400 is 46236701484.

4841076326400 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 0 + 7 + 632 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16522444654 + ... + 16522444946.

Almost surely, 2^{4841076326400} is an apocalyptic number.

4841076326400 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 4841076326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131308215120).

4841076326400 is an abundant number, since it is smaller than the sum of its proper divisors (13421540103840).

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

4841076326400 is an frugal number, since it uses more digits than its factorization.

4841076326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4841076326400 in words is "four trillion, eight hundred forty-one billion, seventy-six million, three hundred twenty-six thousand, four hundred".