415344532521340 has 96 divisors (see below), whose sum is σ = 913477643866368. Its totient is φ = 158468442624000.

The previous prime is 415344532521323. The next prime is 415344532521397. The reversal of 415344532521340 is 43125235443514.

It is a happy number.

It is a super-2 number, since 2×415344532521340² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30539800 + ... + 41992480.

It is an arithmetic number, because the mean of its divisors is an integer number (9515392123608).

Almost surely, 2^{415344532521340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415344532521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456738821933184).

415344532521340 is an abundant number, since it is smaller than the sum of its proper divisors (498133111345028).

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

415344532521340 is a wasteful number, since it uses less digits than its factorization.

415344532521340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453719 (or 11453717 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

Adding to 415344532521340 its reverse (43125235443514), we get a palindrome (458469767964854).

The spelling of 415344532521340 in words is "four hundred fifteen trillion, three hundred forty-four billion, five hundred thirty-two million, five hundred twenty-one thousand, three hundred forty".