2429015441408 has 240 divisors, whose sum is σ = 5192109402480. Its totient is φ = 1134123024384.

The previous prime is 2429015441401. The next prime is 2429015441429. The reversal of 2429015441408 is 8041445109242.

It can be written as a sum of positive squares in 8 ways, for example, as 46462664704 + 2382552776704 = 215552^2 + 1543552^2 .

It is not an unprimeable number, because it can be changed into a prime (2429015441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4096147160 + ... + 4096147752.

It is an arithmetic number, because the mean of its divisors is an integer number (21633789177).

Almost surely, 2^{2429015441408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429015441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596054701240).

2429015441408 is an abundant number, since it is smaller than the sum of its proper divisors (2763093961072).

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

2429015441408 is an equidigital number, since it uses as much as digits as its factorization.

2429015441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 2429015441408 in words is "two trillion, four hundred twenty-nine billion, fifteen million, four hundred forty-one thousand, four hundred eight".