415661122560 has 352 divisors, whose sum is σ = 1421154346752. Its totient is φ = 103434158080.

The previous prime is 415661122529. The next prime is 415661122619. The reversal of 415661122560 is 65221166514.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14470132 + ... + 14498828.

Almost surely, 2^415661122560 is an apocalyptic number.

415661122560 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 415661122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710577173376).

415661122560 is an abundant number, since it is smaller than the sum of its proper divisors (1005493224192).

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

415661122560 is a wasteful number, since it uses less digits than its factorization.

415661122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28789 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 415661122560 in words is "four hundred fifteen billion, six hundred sixty-one million, one hundred twenty-two thousand, five hundred sixty".