413135253440 has 112 divisors (see below), whose sum is σ = 1210804174272. Its totient is φ = 130750488576.

The previous prime is 413135253439. The next prime is 413135253463. The reversal of 413135253440 is 44352531314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 413135253440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7064549 + ... + 7122788.

It is an arithmetic number, because the mean of its divisors is an integer number (10810751556).

Almost surely, 2^413135253440 is an apocalyptic number.

413135253440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413135253440 is an abundant number, since it is smaller than the sum of its proper divisors (797668920832).

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

413135253440 is a wasteful number, since it uses less digits than its factorization.

413135253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14187374 (or 14187364 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 413135253440 its reverse (44352531314), we get a palindrome (457487784754).

The spelling of 413135253440 in words is "four hundred thirteen billion, one hundred thirty-five million, two hundred fifty-three thousand, four hundred forty".