415045748560 has 40 divisors (see below), whose sum is σ = 965723330376. Its totient is φ = 165890649600.

The previous prime is 415045748471. The next prime is 415045748569. The reversal of 415045748560 is 65847540514.

It can be written as a sum of positive squares in 4 ways, for example, as 23955610176 + 391090138384 = 154776^2 + 625372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415045748569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1889799 + ... + 2097958.

Almost surely, 2^415045748560 is an apocalyptic number.

415045748560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415045748560 is an abundant number, since it is smaller than the sum of its proper divisors (550677581816).

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

415045748560 is a wasteful number, since it uses less digits than its factorization.

415045748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989071 (or 3989065 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

The spelling of 415045748560 in words is "four hundred fifteen billion, forty-five million, seven hundred forty-eight thousand, five hundred sixty".