4005916992000 has 5760 divisors, whose sum is σ = 20905976931840. Its totient is φ = 749371392000.

The previous prime is 4005916991987. The next prime is 4005916992001. The reversal of 4005916992000 is 2996195004.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4005916992001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 174170303989 + ... + 174170304011.

It is an arithmetic number, because the mean of its divisors is an integer number (3629509884).

Almost surely, 2^{4005916992000} is an apocalyptic number.

4005916992000 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 4005916992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452988465920).

4005916992000 is an abundant number, since it is smaller than the sum of its proper divisors (16900059939840).

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

4005916992000 is a wasteful number, since it uses less digits than its factorization.

4005916992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 4005916992000 in words is "four trillion, five billion, nine hundred sixteen million, nine hundred ninety-two thousand".