13014743040 has 960 divisors, whose sum is σ = 53941567680. Its totient is φ = 2972712960.

The previous prime is 13014743029. The next prime is 13014743041. The reversal of 13014743040 is 4034741031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13014742995 and 13014743013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014743041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183306205 + ... + 183306275.

It is an arithmetic number, because the mean of its divisors is an integer number (56189133).

Almost surely, 2^13014743040 is an apocalyptic number.

13014743040 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 13014743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970783840).

13014743040 is an abundant number, since it is smaller than the sum of its proper divisors (40926824640).

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

13014743040 is a wasteful number, since it uses less digits than its factorization.

13014743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 13014743040 in words is "thirteen billion, fourteen million, seven hundred forty-three thousand, forty".