4051669248000 has 2304 divisors, whose sum is σ = 17144007229440. Its totient is φ = 945561600000.

The previous prime is 4051669247999. The next prime is 4051669248071. The reversal of 4051669248000 is 8429661504.

4051669248000 is a `hidden beast` number, since 4 + 0 + 5 + 166 + 9 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21212927905 + ... + 21212928095.

It is an arithmetic number, because the mean of its divisors is an integer number (7440975360).

Almost surely, 2^{4051669248000} is an apocalyptic number.

4051669248000 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 4051669248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8572003614720).

4051669248000 is an abundant number, since it is smaller than the sum of its proper divisors (13092337981440).

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

4051669248000 is a wasteful number, since it uses less digits than its factorization.

4051669248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4051669248000 in words is "four trillion, fifty-one billion, six hundred sixty-nine million, two hundred forty-eight thousand".