13785460340 has 48 divisors (see below), whose sum is σ = 29727069120. Its totient is φ = 5366718720.

The previous prime is 13785460301. The next prime is 13785460369. The reversal of 13785460340 is 4306458731.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323519 + ... + 363641.

It is an arithmetic number, because the mean of its divisors is an integer number (619313940).

Almost surely, 2^13785460340 is an apocalyptic number.

13785460340 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 13785460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863534560).

13785460340 is an abundant number, since it is smaller than the sum of its proper divisors (15941608780).

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

13785460340 is a wasteful number, since it uses less digits than its factorization.

13785460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40592 (or 40590 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 13785460340 in words is "thirteen billion, seven hundred eighty-five million, four hundred sixty thousand, three hundred forty".