4133777004000 has 1344 divisors, whose sum is σ = 17762977814400. Its totient is φ = 944634700800.

The previous prime is 4133777003989. The next prime is 4133777004029. The reversal of 4133777004000 is 4007773314.

4133777004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4133777004000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1000185934 + ... + 1000190066.

It is an arithmetic number, because the mean of its divisors is an integer number (13216501350).

Almost surely, 2^{4133777004000} is an apocalyptic number.

4133777004000 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 4133777004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881488907200).

4133777004000 is an abundant number, since it is smaller than the sum of its proper divisors (13629200810400).

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

4133777004000 is an frugal number, since it uses more digits than its factorization.

4133777004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 4133777004000 in words is "four trillion, one hundred thirty-three billion, seven hundred seventy-seven million, four thousand".