415420716760 has 128 divisors (see below), whose sum is σ = 1072446480000. Its totient is φ = 141868007424.

The previous prime is 415420716757. The next prime is 415420716761. The reversal of 415420716760 is 67617024514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415420716761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124786776 + ... + 124790104.

It is an arithmetic number, because the mean of its divisors is an integer number (8378488125).

Almost surely, 2^415420716760 is an apocalyptic number.

415420716760 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 415420716760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536223240000).

415420716760 is an abundant number, since it is smaller than the sum of its proper divisors (657025763240).

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

415420716760 is a wasteful number, since it uses less digits than its factorization.

415420716760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 415420716760 in words is "four hundred fifteen billion, four hundred twenty million, seven hundred sixteen thousand, seven hundred sixty".