13485415440 has 320 divisors, whose sum is σ = 49239705600. Its totient is φ = 3051578880.

The previous prime is 13485415429. The next prime is 13485415513. The reversal of 13485415440 is 4451458431.

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, 8807475 + ... + 8809005.

It is an arithmetic number, because the mean of its divisors is an integer number (153874080).

Almost surely, 2^13485415440 is an apocalyptic number.

13485415440 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 13485415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619852800).

13485415440 is an abundant number, since it is smaller than the sum of its proper divisors (35754290160).

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

13485415440 is a wasteful number, since it uses less digits than its factorization.

13485415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 13485415440 in words is "thirteen billion, four hundred eighty-five million, four hundred fifteen thousand, four hundred forty".