4966406161920 has 1440 divisors, whose sum is σ = 20823453338688. Its totient is φ = 1112362647552.

The previous prime is 4966406161907. The next prime is 4966406161931. The reversal of 4966406161920 is 291616046694.

4966406161920 is a `hidden beast` number, since 4 + 9 + 6 + 6 + 4 + 0 + 616 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6231374962 + ... + 6231375758.

Almost surely, 2^{4966406161920} is an apocalyptic number.

4966406161920 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 4966406161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411726669344).

4966406161920 is an abundant number, since it is smaller than the sum of its proper divisors (15857047176768).

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

4966406161920 is an frugal number, since it uses more digits than its factorization.

4966406161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4966406161920 in words is "four trillion, nine hundred sixty-six billion, four hundred six million, one hundred sixty-one thousand, nine hundred twenty".