413916595560 has 512 divisors, whose sum is σ = 1575949132800. Its totient is φ = 95855063040.

The previous prime is 413916595559. The next prime is 413916595579. The reversal of 413916595560 is 65595619314.

413916595560 is a `hidden beast` number, since 4 + 1 + 39 + 1 + 6 + 59 + 556 + 0 = 666.

It is a super-2 number, since 2×413916595560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 413916595497 and 413916595506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19687614 + ... + 19708626.

It is an arithmetic number, because the mean of its divisors is an integer number (3078025650).

Almost surely, 2^413916595560 is an apocalyptic number.

413916595560 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 413916595560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787974566400).

413916595560 is an abundant number, since it is smaller than the sum of its proper divisors (1162032537240).

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

413916595560 is a wasteful number, since it uses less digits than its factorization.

413916595560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21130 (or 21120 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 413916595560 in words is "four hundred thirteen billion, nine hundred sixteen million, five hundred ninety-five thousand, five hundred sixty".