415213043405040 has 240 divisors, whose sum is σ = 1395343330748640. Its totient is φ = 110650485964800.

The previous prime is 415213043405003. The next prime is 415213043405063. The reversal of 415213043405040 is 40504340312514.

415213043405040 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 1 + 304 + 340 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415213043404986 and 415213043405004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8197503715 + ... + 8197554365.

It is an arithmetic number, because the mean of its divisors is an integer number (5813930544786).

Almost surely, 2^{415213043405040} is an apocalyptic number.

415213043405040 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 415213043405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697671665374320).

415213043405040 is an abundant number, since it is smaller than the sum of its proper divisors (980130287343600).

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

415213043405040 is a wasteful number, since it uses less digits than its factorization.

415213043405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57952 (or 57943 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 415213043405040 its reverse (40504340312514), we get a palindrome (455717383717554).

The spelling of 415213043405040 in words is "four hundred fifteen trillion, two hundred thirteen billion, forty-three million, four hundred five thousand, forty".