1310040400 has 120 divisors (see below), whose sum is σ = 3404246400. Its totient is φ = 482580480.

The previous prime is 1310040343. The next prime is 1310040401. The reversal of 1310040400 is 40400131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310040401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317551 + ... + 321649.

It is an arithmetic number, because the mean of its divisors is an integer number (28368720).

Almost surely, 2^1310040400 is an apocalyptic number.

1310040400 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 1310040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702123200).

1310040400 is an abundant number, since it is smaller than the sum of its proper divisors (2094206000).

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

1310040400 is a wasteful number, since it uses less digits than its factorization.

1310040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1310040400 is about 36194.4802421585. The cubic root of 1310040400 is about 1094.1954293499.

Adding to 1310040400 its reverse (40400131), we get a palindrome (1350440531).

The spelling of 1310040400 in words is "one billion, three hundred ten million, forty thousand, four hundred".