415688378120 has 64 divisors (see below), whose sum is σ = 965592576000. Its totient is φ = 160891165440.

The previous prime is 415688378111. The next prime is 415688378137. The reversal of 415688378120 is 21873886514.

It is a Cunningham number, because it is equal to 644739²-1.

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, 12878642 + ... + 12910878.

It is an arithmetic number, because the mean of its divisors is an integer number (15087384000).

Almost surely, 2^415688378120 is an apocalyptic number.

415688378120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415688378120 is an abundant number, since it is smaller than the sum of its proper divisors (549904197880).

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

415688378120 is a wasteful number, since it uses less digits than its factorization.

415688378120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42678 (or 42674 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 415688378120 in words is "four hundred fifteen billion, six hundred eighty-eight million, three hundred seventy-eight thousand, one hundred twenty".