4008848040000 has 210 divisors, whose sum is σ = 14358703892390. Its totient is φ = 1069026048000.

The previous prime is 4008848039923. The next prime is 4008848040017. The reversal of 4008848040000 is 408488004.

It can be written as a sum of positive squares in 5 ways, for example, as 884607967296 + 3124240072704 = 940536^2 + 1767552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5207845 + ... + 5927844.

Almost surely, 2^{4008848040000} is an apocalyptic number.

4008848040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008848040000 is an abundant number, since it is smaller than the sum of its proper divisors (10349855852390).

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

4008848040000 is a wasteful number, since it uses less digits than its factorization.

4008848040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135727 (or 11135699 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4008848040000 in words is "four trillion, eight billion, eight hundred forty-eight million, forty thousand".