410104231311040 has 224 divisors, whose sum is σ = 1128659769843840. Its totient is φ = 139021114146816.

The previous prime is 410104231311029. The next prime is 410104231311041. The reversal of 410104231311040 is 40113132401014.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×410104231311040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 410104231310996 and 410104231311014.

It is not an unprimeable number, because it can be changed into a prime (410104231311041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7821464664 + ... + 7821517096.

Almost surely, 2^{410104231311040} is an apocalyptic number.

410104231311040 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 410104231311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564329884921920).

410104231311040 is an abundant number, since it is smaller than the sum of its proper divisors (718555538532800).

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

410104231311040 is a wasteful number, since it uses less digits than its factorization.

410104231311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91779 (or 91769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 410104231311040 its reverse (40113132401014), we get a palindrome (450217363712054).

The spelling of 410104231311040 in words is "four hundred ten trillion, one hundred four billion, two hundred thirty-one million, three hundred eleven thousand, forty".