415981342791960 has 256 divisors, whose sum is σ = 1394701773696000. Its totient is φ = 98377046630400.

The previous prime is 415981342791947. The next prime is 415981342791961. The reversal of 415981342791960 is 69197243189514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415981342791961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746523372 + ... + 747080388.

It is an arithmetic number, because the mean of its divisors is an integer number (5448053803500).

It is a 1-persistent number, because it is pandigital, but 2⋅415981342791960 = 831962685583920 is not.

Almost surely, 2^{415981342791960} is an apocalyptic number.

415981342791960 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 415981342791960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697350886848000).

415981342791960 is an abundant number, since it is smaller than the sum of its proper divisors (978720430904040).

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

415981342791960 is a wasteful number, since it uses less digits than its factorization.

415981342791960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570882 (or 570878 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 415981342791960 in words is "four hundred fifteen trillion, nine hundred eighty-one billion, three hundred forty-two million, seven hundred ninety-one thousand, nine hundred sixty".