8410597465920 has 224 divisors, whose sum is σ = 28776286506240. Its totient is φ = 2068968161280.

The previous prime is 8410597465843. The next prime is 8410597465927. The reversal of 8410597465920 is 295647950148.

It is a super-2 number, since 2×8410597465920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8410597465927) 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 31 ways as a sum of consecutive naturals, for example, 19240180 + ... + 19672460.

It is an arithmetic number, because the mean of its divisors is an integer number (128465564760).

Almost surely, 2^{8410597465920} is an apocalyptic number.

8410597465920 is a gapful number since it is divisible by the number (80) 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 8410597465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388143253120).

8410597465920 is an abundant number, since it is smaller than the sum of its proper divisors (20365689040320).

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

8410597465920 is a wasteful number, since it uses less digits than its factorization.

8410597465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433873 (or 433863 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 8410597465920 in words is "eight trillion, four hundred ten billion, five hundred ninety-seven million, four hundred sixty-five thousand, nine hundred twenty".