415111020403120 has 80 divisors (see below), whose sum is σ = 996297591087360. Its totient is φ = 160683114009600.

The previous prime is 415111020403039. The next prime is 415111020403139. The reversal of 415111020403120 is 21304020111514.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77228710 + ... + 82428730.

It is an arithmetic number, because the mean of its divisors is an integer number (12453719888592).

Almost surely, 2^{415111020403120} is an apocalyptic number.

415111020403120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415111020403120 is an abundant number, since it is smaller than the sum of its proper divisors (581186570684240).

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

415111020403120 is a wasteful number, since it uses less digits than its factorization.

415111020403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232254 (or 5232248 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 415111020403120 its reverse (21304020111514), we get a palindrome (436415040514634).

The spelling of 415111020403120 in words is "four hundred fifteen trillion, one hundred eleven billion, twenty million, four hundred three thousand, one hundred twenty".