410400023240 has 128 divisors (see below), whose sum is σ = 955913529600. Its totient is φ = 158454973440.

The previous prime is 410400023221. The next prime is 410400023249. The reversal of 410400023240 is 42320004014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (410400023249) 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, 129014450 + ... + 129017630.

It is an arithmetic number, because the mean of its divisors is an integer number (7468074450).

Almost surely, 2^410400023240 is an apocalyptic number.

410400023240 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 410400023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477956764800).

410400023240 is an abundant number, since it is smaller than the sum of its proper divisors (545513506360).

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

410400023240 is a wasteful number, since it uses less digits than its factorization.

410400023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 410400023240 its reverse (42320004014), we get a palindrome (452720027254).

The spelling of 410400023240 in words is "four hundred ten billion, four hundred million, twenty-three thousand, two hundred forty".