4008040448040 has 320 divisors, whose sum is σ = 13733541478800. Its totient is φ = 1048041566208.

The previous prime is 4008040448003. The next prime is 4008040448057. The reversal of 4008040448040 is 408440408004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2362264485156 + 1645775962884 = 1536966^2 + 1282878^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4008040447986 and 4008040448004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352535476 + ... + 352546844.

Almost surely, 2^{4008040448040} is an apocalyptic number.

4008040448040 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 4008040448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866770739400).

4008040448040 is an abundant number, since it is smaller than the sum of its proper divisors (9725501030760).

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

4008040448040 is a wasteful number, since it uses less digits than its factorization.

4008040448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 4008040448040 in words is "four trillion, eight billion, forty million, four hundred forty-eight thousand, forty".