13400461140 has 384 divisors, whose sum is σ = 45566115840. Its totient is φ = 2904268800.

The previous prime is 13400461127. The next prime is 13400461147. The reversal of 13400461140 is 4116400431.

It is a self number, because there is not a number n which added to its sum of digits gives 13400461140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400461147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20521054 + ... + 20521706.

It is an arithmetic number, because the mean of its divisors is an integer number (118661760).

Almost surely, 2^13400461140 is an apocalyptic number.

13400461140 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 13400461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22783057920).

13400461140 is an abundant number, since it is smaller than the sum of its proper divisors (32165654700).

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

13400461140 is a wasteful number, since it uses less digits than its factorization.

13400461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13400461140 its reverse (4116400431), we get a palindrome (17516861571).

The spelling of 13400461140 in words is "thirteen billion, four hundred million, four hundred sixty-one thousand, one hundred forty".