415135220240000 has 160 divisors (see below), whose sum is σ = 1112949586457940. Its totient is φ = 153280696320000.

The previous prime is 415135220239973. The next prime is 415135220240003. The reversal of 415135220240000 is 42022531514.

It can be written as a sum of positive squares in 10 ways, for example, as 211063481344576 + 204071738895424 = 14528024^2 + 14285368^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (415135220240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198544241 + ... + 200624240.

Almost surely, 2^{415135220240000} is an apocalyptic number.

415135220240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415135220240000 is an abundant number, since it is smaller than the sum of its proper divisors (697814366217940).

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

415135220240000 is an equidigital number, since it uses as much as digits as its factorization.

415135220240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399168528 (or 399168501 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 415135220240000 its reverse (42022531514), we get a palindrome (415177242771514).

The spelling of 415135220240000 in words is "four hundred fifteen trillion, one hundred thirty-five billion, two hundred twenty million, two hundred forty thousand".