415055413240240 has 80 divisors (see below), whose sum is σ = 983750810704128. Its totient is φ = 162800316044288.

The previous prime is 415055413240207. The next prime is 415055413240243. The reversal of 415055413240240 is 42042314550514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 415055413240193 and 415055413240202.

It is not an unprimeable number, because it can be changed into a prime (415055413240243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19119199 + ... + 34578238.

Almost surely, 2^{415055413240240} is an apocalyptic number.

415055413240240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415055413240240 is an abundant number, since it is smaller than the sum of its proper divisors (568695397463888).

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

415055413240240 is a wasteful number, since it uses less digits than its factorization.

415055413240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53699326 (or 53699320 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 415055413240240 its reverse (42042314550514), we get a palindrome (457097727790754).

The spelling of 415055413240240 in words is "four hundred fifteen trillion, fifty-five billion, four hundred thirteen million, two hundred forty thousand, two hundred forty".