13464733040 has 320 divisors, whose sum is σ = 38466109440. Its totient is φ = 4319723520.

The previous prime is 13464733039. The next prime is 13464733081. The reversal of 13464733040 is 4033746431.

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, 36098294 + ... + 36098666.

It is an arithmetic number, because the mean of its divisors is an integer number (120206592).

Almost surely, 2^13464733040 is an apocalyptic number.

13464733040 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 13464733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233054720).

13464733040 is an abundant number, since it is smaller than the sum of its proper divisors (25001376400).

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

13464733040 is a wasteful number, since it uses less digits than its factorization.

13464733040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 13464733040 in words is "thirteen billion, four hundred sixty-four million, seven hundred thirty-three thousand, forty".