4003292160000 has 2100 divisors, whose sum is σ = 17473096739538. Its totient is φ = 910393344000.

The previous prime is 4003292159957. The next prime is 4003292160001. The reversal of 4003292160000 is 612923004.

4003292160000 is a `hidden beast` number, since 4 + 0 + 0 + 32 + 9 + 21 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 696597221376 + 3306694938624 = 834624^2 + 1818432^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4003292160001) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 20321279902 + ... + 20321280098.

Almost surely, 2^{4003292160000} is an apocalyptic number.

4003292160000 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 4003292160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736548369769).

4003292160000 is an abundant number, since it is smaller than the sum of its proper divisors (13469804579538).

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

4003292160000 is an frugal number, since it uses more digits than its factorization.

4003292160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 4003292160000 in words is "four trillion, three billion, two hundred ninety-two million, one hundred sixty thousand".