13710090240 has 1344 divisors, whose sum is σ = 64546398720. Its totient is φ = 2724986880.

The previous prime is 13710090211. The next prime is 13710090253. The reversal of 13710090240 is 4209001731.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596090869 + ... + 596090891.

Almost surely, 2^13710090240 is an apocalyptic number.

13710090240 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 13710090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32273199360).

13710090240 is an abundant number, since it is smaller than the sum of its proper divisors (50836308480).

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

13710090240 is a wasteful number, since it uses less digits than its factorization.

13710090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 13710090240 its reverse (4209001731), we get a palindrome (17919091971).

The spelling of 13710090240 in words is "thirteen billion, seven hundred ten million, ninety thousand, two hundred forty".