4008194820 has 192 divisors, whose sum is σ = 14871306240. Its totient is φ = 876306816.

The previous prime is 4008194807. The next prime is 4008194821. The reversal of 4008194820 is 284918004.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4008194821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63889 + ... + 109991.

It is an arithmetic number, because the mean of its divisors is an integer number (77454720).

Almost surely, 2^4008194820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008194820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435653120).

4008194820 is an abundant number, since it is smaller than the sum of its proper divisors (10863111420).

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

4008194820 is a wasteful number, since it uses less digits than its factorization.

4008194820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46151 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4008194820 is about 63310.3057961340. The cubic root of 4008194820 is about 1588.4843513418.

The spelling of 4008194820 in words is "four billion, eight million, one hundred ninety-four thousand, eight hundred twenty".