410397636096 has 1280 divisors, whose sum is σ = 1555614720000. Its totient is φ = 104175009792.

The previous prime is 410397636073. The next prime is 410397636097. The reversal of 410397636096 is 690636793014.

410397636096 is a `hidden beast` number, since 4 + 103 + 97 + 6 + 360 + 96 = 666.

410397636096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410397636097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2292724135 + ... + 2292724313.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324000).

Almost surely, 2^410397636096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410397636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360000).

410397636096 is an abundant number, since it is smaller than the sum of its proper divisors (1145217083904).

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

410397636096 is a wasteful number, since it uses less digits than its factorization.

410397636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 410397636096 in words is "four hundred ten billion, three hundred ninety-seven million, six hundred thirty-six thousand, ninety-six".