2405952042416 has 80 divisors (see below), whose sum is σ = 5300011298400. Its totient is φ = 1048872996864.

The previous prime is 2405952042413. The next prime is 2405952042419. The reversal of 2405952042416 is 6142402595042.

It is an interprime number because it is at equal distance from previous prime (2405952042413) and next prime (2405952042419).

It is not an unprimeable number, because it can be changed into a prime (2405952042413) 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, 428570 + ... + 2235078.

It is an arithmetic number, because the mean of its divisors is an integer number (66250141230).

Almost surely, 2^{2405952042416} is an apocalyptic number.

2405952042416 is a gapful number since it is divisible by the number (26) 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 2405952042416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650005649200).

2405952042416 is an abundant number, since it is smaller than the sum of its proper divisors (2894059255984).

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

2405952042416 is a wasteful number, since it uses less digits than its factorization.

2405952042416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806886 (or 1806880 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 2405952042416 in words is "two trillion, four hundred five billion, nine hundred fifty-two million, forty-two thousand, four hundred sixteen".