413530242480 has 480 divisors, whose sum is σ = 1493548692480. Its totient is φ = 102269122560.

The previous prime is 413530242467. The next prime is 413530242481. The reversal of 413530242480 is 84242035314.

413530242480 is a `hidden beast` number, since 4 + 1 + 3 + 530 + 2 + 42 + 4 + 80 = 666.

It is a super-2 number, since 2×413530242480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (413530242481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202809301 + ... + 202811339.

It is an arithmetic number, because the mean of its divisors is an integer number (3111559776).

Almost surely, 2^413530242480 is an apocalyptic number.

413530242480 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 413530242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746774346240).

413530242480 is an abundant number, since it is smaller than the sum of its proper divisors (1080018450000).

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

413530242480 is a wasteful number, since it uses less digits than its factorization.

413530242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 413530242480 its reverse (84242035314), we get a palindrome (497772277794).

The spelling of 413530242480 in words is "four hundred thirteen billion, five hundred thirty million, two hundred forty-two thousand, four hundred eighty".