10411314000 has 160 divisors (see below), whose sum is σ = 33881867136. Its totient is φ = 2750233600.

The previous prime is 10411313999. The next prime is 10411314047. The reversal of 10411314000 is 41311401.

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

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, 633892 + ... + 650108.

Almost surely, 2^10411314000 is an apocalyptic number.

10411314000 is a gapful number since it is divisible by the number (10) 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 10411314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940933568).

10411314000 is an abundant number, since it is smaller than the sum of its proper divisors (23470553136).

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

10411314000 is a wasteful number, since it uses less digits than its factorization.

10411314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 16334 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10411314000 its reverse (41311401), we get a palindrome (10452625401).

The spelling of 10411314000 in words is "ten billion, four hundred eleven million, three hundred fourteen thousand".