2449405271040 has 1408 divisors, whose sum is σ = 10005623857152. Its totient is φ = 497681694720.

The previous prime is 2449405271021. The next prime is 2449405271041. The reversal of 2449405271040 is 401725049442.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2449405270983 and 2449405271001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449405271041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4988605195 + ... + 4988605685.

It is an arithmetic number, because the mean of its divisors is an integer number (7106266944).

Almost surely, 2^{2449405271040} is an apocalyptic number.

2449405271040 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 2449405271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002811928576).

2449405271040 is an abundant number, since it is smaller than the sum of its proper divisors (7556218586112).

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

2449405271040 is a wasteful number, since it uses less digits than its factorization.

2449405271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 2449405271040 in words is "two trillion, four hundred forty-nine billion, four hundred five million, two hundred seventy-one thousand, forty".