2408028004040 has 64 divisors (see below), whose sum is σ = 5740318627200. Its totient is φ = 905991359488.

The previous prime is 2408028004037. The next prime is 2408028004049. The reversal of 2408028004040 is 404008208042.

It is a junction number, because it is equal to n+sod(n) for n = 2408028003988 and 2408028004006.

It is not an unprimeable number, because it can be changed into a prime (2408028004049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7277 + ... + 2194563.

It is an arithmetic number, because the mean of its divisors is an integer number (89692478550).

Almost surely, 2^{2408028004040} is an apocalyptic number.

2408028004040 is a gapful number since it is divisible by the number (20) 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 2408028004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870159313600).

2408028004040 is an abundant number, since it is smaller than the sum of its proper divisors (3332290623160).

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

2408028004040 is a wasteful number, since it uses less digits than its factorization.

2408028004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188934 (or 2188930 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 2408028004040 in words is "two trillion, four hundred eight billion, twenty-eight million, four thousand, forty".