13023541440 has 1008 divisors, whose sum is σ = 58180711680. Its totient is φ = 2647572480.

The previous prime is 13023541439. The next prime is 13023541499. The reversal of 13023541440 is 4414532031.

It is a happy number.

13023541440 is a `hidden beast` number, since 1 + 302 + 354 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13023541440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56871246 + ... + 56871474.

It is an arithmetic number, because the mean of its divisors is an integer number (57718960).

Almost surely, 2^13023541440 is an apocalyptic number.

13023541440 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 13023541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090355840).

13023541440 is an abundant number, since it is smaller than the sum of its proper divisors (45157170240).

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

13023541440 is a wasteful number, since it uses less digits than its factorization.

13023541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 13023541440 in words is "thirteen billion, twenty-three million, five hundred forty-one thousand, four hundred forty".