4008024840160 has 192 divisors, whose sum is σ = 10618356256704. Its totient is φ = 1416816230400.

The previous prime is 4008024840101. The next prime is 4008024840163. The reversal of 4008024840160 is 610484208004.

4008024840160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008024840163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75056670 + ... + 75110050.

It is an arithmetic number, because the mean of its divisors is an integer number (55303938837).

Almost surely, 2^{4008024840160} is an apocalyptic number.

4008024840160 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 4008024840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309178128352).

4008024840160 is an abundant number, since it is smaller than the sum of its proper divisors (6610331416544).

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

4008024840160 is a wasteful number, since it uses less digits than its factorization.

4008024840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54597 (or 54589 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 4008024840160 in words is "four trillion, eight billion, twenty-four million, eight hundred forty thousand, one hundred sixty".