4008848088000 has 224 divisors, whose sum is σ = 15128247932928. Its totient is φ = 916308096000.

The previous prime is 4008848087983. The next prime is 4008848088019. The reversal of 4008848088000 is 8808488004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4008848088000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11763096 + ... + 12099095.

Almost surely, 2^{4008848088000} is an apocalyptic number.

4008848088000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008848088000 is an abundant number, since it is smaller than the sum of its proper divisors (11119399844928).

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

4008848088000 is a wasteful number, since it uses less digits than its factorization.

4008848088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23862228 (or 23862208 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 4008848088000 in words is "four trillion, eight billion, eight hundred forty-eight million, eighty-eight thousand".