4131776800800 has 1152 divisors, whose sum is σ = 17064527800320. Its totient is φ = 955053158400.

The previous prime is 4131776800757. The next prime is 4131776800829. The reversal of 4131776800800 is 80086771314.

4131776800800 is a `hidden beast` number, since 413 + 17 + 76 + 80 + 0 + 80 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2038369387 + ... + 2038371413.

It is an arithmetic number, because the mean of its divisors is an integer number (14812958160).

Almost surely, 2^{4131776800800} is an apocalyptic number.

4131776800800 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 4131776800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532263900160).

4131776800800 is an abundant number, since it is smaller than the sum of its proper divisors (12932750999520).

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

4131776800800 is a wasteful number, since it uses less digits than its factorization.

4131776800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 4131776800800 in words is "four trillion, one hundred thirty-one billion, seven hundred seventy-six million, eight hundred thousand, eight hundred".