2414304013040 has 80 divisors (see below), whose sum is σ = 5973618860352. Its totient is φ = 904300572672.

The previous prime is 2414304013039. The next prime is 2414304013063. The reversal of 2414304013040 is 403104034142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237724 + ... + 4773563.

Almost surely, 2^{2414304013040} is an apocalyptic number.

2414304013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414304013040 is an abundant number, since it is smaller than the sum of its proper divisors (3559314847312).

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

2414304013040 is a wasteful number, since it uses less digits than its factorization.

2414304013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011514 (or 9011508 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2414304013040 its reverse (403104034142), we get a palindrome (2817408047182).

The spelling of 2414304013040 in words is "two trillion, four hundred fourteen billion, three hundred four million, thirteen thousand, forty".