413001520611240 has 256 divisors, whose sum is σ = 1369837665331200. Its totient is φ = 98780932224000.

The previous prime is 413001520611233. The next prime is 413001520611271. The reversal of 413001520611240 is 42116025100314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413001520611198 and 413001520611207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30927015 + ... + 42219465.

It is an arithmetic number, because the mean of its divisors is an integer number (5350928380200).

Almost surely, 2^{413001520611240} is an apocalyptic number.

413001520611240 is a gapful number since it is divisible by the number (40) 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 413001520611240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684918832665600).

413001520611240 is an abundant number, since it is smaller than the sum of its proper divisors (956836144719960).

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

413001520611240 is a wasteful number, since it uses less digits than its factorization.

413001520611240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292848 (or 11292844 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 413001520611240 its reverse (42116025100314), we get a palindrome (455117545711554).

The spelling of 413001520611240 in words is "four hundred thirteen trillion, one billion, five hundred twenty million, six hundred eleven thousand, two hundred forty".