40320100410 has 64 divisors (see below), whose sum is σ = 100343767680. Its totient is φ = 10356514560.

The previous prime is 40320100397. The next prime is 40320100417. The reversal of 40320100410 is 1400102304.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40320100410.

It is not an unprimeable number, because it can be changed into a prime (40320100417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 311229 + ... + 421311.

It is an arithmetic number, because the mean of its divisors is an integer number (1567871370).

Almost surely, 2^40320100410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50171883840).

40320100410 is an abundant number, since it is smaller than the sum of its proper divisors (60023667270).

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

40320100410 is a wasteful number, since it uses less digits than its factorization.

40320100410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110543.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 40320100410 its reverse (1400102304), we get a palindrome (41720202714).

The spelling of 40320100410 in words is "forty billion, three hundred twenty million, one hundred thousand, four hundred ten".