13411014000 has 320 divisors, whose sum is σ = 44486402688. Its totient is φ = 3474432000.

The previous prime is 13411013989. The next prime is 13411014013. The reversal of 13411014000 is 41011431.

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 63 ways as a sum of consecutive naturals, for example, 57557884 + ... + 57558116.

Almost surely, 2^13411014000 is an apocalyptic number.

13411014000 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 13411014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243201344).

13411014000 is an abundant number, since it is smaller than the sum of its proper divisors (31075388688).

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

13411014000 is a wasteful number, since it uses less digits than its factorization.

13411014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

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

Adding to 13411014000 its reverse (41011431), we get a palindrome (13452025431).

The spelling of 13411014000 in words is "thirteen billion, four hundred eleven million, fourteen thousand".