10411413401312 has 192 divisors, whose sum is σ = 25649253987840. Its totient is φ = 4041496166400.

The previous prime is 10411413401273. The next prime is 10411413401507. The reversal of 10411413401312 is 21310431411401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645029764 + ... + 1645036092.

It is an arithmetic number, because the mean of its divisors is an integer number (133589864520).

Almost surely, 2^{10411413401312} 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 10411413401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824626993920).

10411413401312 is an abundant number, since it is smaller than the sum of its proper divisors (15237840586528).

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

10411413401312 is a wasteful number, since it uses less digits than its factorization.

10411413401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 10411413401312 its reverse (21310431411401), we get a palindrome (31721844812713).

The spelling of 10411413401312 in words is "ten trillion, four hundred eleven billion, four hundred thirteen million, four hundred one thousand, three hundred twelve".