2413435295768 has 128 divisors (see below), whose sum is σ = 5647749857280. Its totient is φ = 943338854400.

The previous prime is 2413435295753. The next prime is 2413435295801. The reversal of 2413435295768 is 8675925343142.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4252121 + ... + 4786167.

It is an arithmetic number, because the mean of its divisors is an integer number (44123045760).

Almost surely, 2^{2413435295768} is an apocalyptic number.

2413435295768 is a gapful number since it is divisible by the number (28) 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 2413435295768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823874928640).

2413435295768 is an abundant number, since it is smaller than the sum of its proper divisors (3234314561512).

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

2413435295768 is a wasteful number, since it uses less digits than its factorization.

2413435295768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534225 (or 534221 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 59.

The spelling of 2413435295768 in words is "two trillion, four hundred thirteen billion, four hundred thirty-five million, two hundred ninety-five thousand, seven hundred sixty-eight".