1349040000 has 640 divisors, whose sum is σ = 5659188480. Its totient is φ = 276480000.

The previous prime is 1349039983. The next prime is 1349040001. The reversal of 1349040000 is 409431.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479964 + ... + 18480036.

It is an arithmetic number, because the mean of its divisors is an integer number (8842482).

Almost surely, 2^1349040000 is an apocalyptic number.

1349040000 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 1349040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829594240).

1349040000 is an abundant number, since it is smaller than the sum of its proper divisors (4310148480).

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

1349040000 is an equidigital number, since it uses as much as digits as its factorization.

1349040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1349040000 is about 36729.2798731475. The cubic root of 1349040000 is about 1104.9474118964.

Adding to 1349040000 its reverse (409431), we get a palindrome (1349449431).

The spelling of 1349040000 in words is "one billion, three hundred forty-nine million, forty thousand".