1013340400 has 120 divisors (see below), whose sum is σ = 2550693888. Its totient is φ = 386400000.

The previous prime is 1013340389. The next prime is 1013340401. The reversal of 1013340400 is 40433101.

1013340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013340401) 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, 879825 + ... + 880975.

Almost surely, 2^1013340400 is an apocalyptic number.

1013340400 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 1013340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275346944).

1013340400 is an abundant number, since it is smaller than the sum of its proper divisors (1537353488).

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

1013340400 is a wasteful number, since it uses less digits than its factorization.

1013340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1013340400 is about 31833.0080262610. The cubic root of 1013340400 is about 1004.4271712309.

Adding to 1013340400 its reverse (40433101), we get a palindrome (1053773501).

The spelling of 1013340400 in words is "one billion, thirteen million, three hundred forty thousand, four hundred".